%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.22", %%% date = "19 September 2023", %%% time = "10:50:25 MDT", %%% filename = "crandall-richard-e.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "58072 4297 17307 181885", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of the %%% late Richard Eugene Crandall (29 December %%% 1947--20 December 2012). The companion LaTeX %%% file crandall-richard-e.ltx can be used to %%% typeset this bibliography. %%% %%% At version 1.22, the year coverage looked %%% like this: %%% %%% 1973 ( 2) 1988 ( 2) 2003 ( 6) %%% 1974 ( 1) 1989 ( 1) 2004 ( 9) %%% 1975 ( 0) 1990 ( 2) 2005 ( 6) %%% 1976 ( 2) 1991 ( 5) 2006 ( 3) %%% 1977 ( 1) 1992 ( 3) 2007 ( 7) %%% 1978 ( 3) 1993 ( 4) 2008 ( 2) %%% 1979 ( 1) 1994 ( 5) 2009 ( 1) %%% 1980 ( 1) 1995 ( 2) 2010 ( 3) %%% 1981 ( 4) 1996 ( 3) 2011 ( 1) %%% 1982 ( 6) 1997 ( 7) 2012 ( 5) %%% 1983 ( 9) 1998 ( 7) 2013 ( 6) %%% 1984 ( 6) 1999 ( 9) 2014 ( 2) %%% 1985 ( 1) 2000 ( 10) 2015 ( 2) %%% 1986 ( 2) 2001 ( 8) 2016 ( 1) %%% 1987 ( 4) 2002 ( 4) %%% %%% Article: 103 %%% Book: 13 %%% InCollection: 4 %%% InProceedings: 3 %%% Misc: 17 %%% PhdThesis: 1 %%% TechReport: 29 %%% %%% Total entries: 170 %%% %%% Richard Crandall did his undergraduate work %%% at CalTech in Pasadena, CA, studying under %%% Richard Feynman. He then moved to MIT for %%% graduate studies, receiving his Ph.D. in %%% 1973. He spent much of his career at Reed %%% College in Portland, OR, and directed the %%% Center for Advanced Computation there. %%% During that time, he also worked at NeXt %%% Computer as Chief Scientist, and then at %%% Apple Computer as Distinguished Scientist and %%% head of the Advanced Computation Group. He %%% also worked for years on image processing at %%% Pixar. %%% %%% Richard Crandall held the 1989 Senior %%% Research Fellowship, San Diego Supercomputer %%% Center, and won the 1983 AAPT Apparatus %%% first-place award, for an electronic gravity %%% balance. %%% %%% Richard Crandall had planned to write a %%% biography of Apple co-founder Steve Jobs, %%% whom he knew well. Sadly, he was unable to %%% complete that task before his death from %%% acute leukemia. %%% %%% See %%% %%% http://experimentalmath.info/blog/2012/12/mathematicianphysicistinventor-richard-crandall-dies-at-64/ %%% http://blog.stephenwolfram.com/2012/12/remembering-richard-crandall-1947-2012/ %%% http://www.apple.com/acg/ %%% %%% for obituaries, and %%% %%% http://people.reed.edu/~crandall/ %%% %%% for his final Web site. All of the %%% publications listed there are included in %%% this bibliography. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{"\input path.sty"}

%%% ==================================================================== %%% Acknowledgement abbreviations:

@String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ==================================================================== %%% Institutional abbreviations:

@String{inst-CECM= "Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU)"} @String{inst-CECM:adr= "Burnaby, BC V5A 1S6, Canada"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACM-COMM-COMP-ALGEBRA= "ACM Communications in Computer Algebra"} @String{j-AM-SCI= "American Scientist"} @String{j-AMER-J-PHYSICS= "American Journal of Physics"} @String{j-ANALYT-BIOCHEM= "Analytical biochemistry"} @String{j-ANN-PHYS= "Annals of Physics"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-BULL-AMS= "Bulletin of the American Mathematical Society"} @String{j-COMPUT-PHYS= "Computers in Physics"} @String{j-EVOLUTION= "Evolution"} @String{j-EXP-MATH= "Experimental Mathematics"} @String{j-INTEGERS= "Integers"} @String{j-J-CHEM-PHYS= "Journal of Chemical Physics"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-PHYS-A= "Journal of Physics A (Mathematical and General)"} @String{j-J-SYMBOLIC-COMP= "Journal of Symbolic Computation"} @String{j-J-PHYS-A-MATH-THEOR= "Journal of Physics A: Mathematical and Theoretical"} @String{j-J-VAC-SCI-TECHNOL-B= "Journal of Vacuum Science \& Technology, B: Microelectronics and Nanometer Structures--Processing, Measurement, and Phenomena"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-MAG= "Mathematics Magazine"} @String{j-MATHEMATICA-EDUC= "Mathematica in Education"} @String{j-NAMS= "Notices of the American Mathematical Society"} @String{j-NEW-SCIENTIST= "New Scientist"} @String{j-NUCLEIC-ACIDS-RES= "Nucleic Acids Research"} @String{j-PHYS-REV-D= "Physical Review D (Particles and Fields)"} @String{j-PHYS-TODAY= "Physics Today"} @String{j-RAMANUJAN-J= "The {Ramanujan} Journal"} @String{j-SCI-AMER= "Scientific American"} @String{j-SCIENCE= "Science"} @String{j-SCIENCE-NEWS= "Science News (Washington, DC)"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-THEOR-POPUL-BIOL= "Theoretical Population Biology"}

%%% ==================================================================== %%% Publishers and their addresses:

@String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, USA"} @String{pub-AW= "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr= "Reading, MA, USA"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TELOS= "TELOS division of Springer-Verlag"} @String{pub-TELOS:adr= "Santa Clara, CA, USA and New York, NY, USA"} @String{pub-TOPPAN= "Toppan"} @String{pub-TOPPAN:adr= "Tokyo, Japan"} @String{pub-WILEY= "John Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"}

%%% ==================================================================== %%% Part 1 (of 2) --- Richard E. Crandall and his works %%% %%% Bibliography entries, sorted by ascending year and then by citation %%% label:

@PhdThesis{Crandall:1973:ARL, author = "Richard Eugene Crandall", title = "Asymptotic {Regge} Limits for Inclusive Reactions", type = "{Ph.D.} thesis", school = "Massachusetts Institute of Technology", address = "Cambridge, MA, USA", pages = "81", month = "????", year = "1973", bibdate = "Tue Mar 19 07:26:52 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://search.proquest.com/docview/302648140", acknowledgement = ack-nhfb, advisor = "C. Edward Jones", xxadvisor = "Victor Weisskopf", } @Misc{Crandall:1973:HPO, author = "Richard E. Crandall", title = "High power operational amplifier", howpublished = "US Patent 3,919,655.", month = "", year = "1973", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Misc{Crandall:1974:CSA, author = "Richard E. Crandall and D. Morgan", title = "Central station to addressed point communication system", howpublished = "US Patent 4,048,620.", month = "", year = "1974", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Article{Crandall:1976:ELS, author = "Richard E. Crandall", title = "Electrical load shedding feasible if survey documents real savings", journal = "Real Estate Forum, {New York}", volume = "??", number = "??", pages = "??--??", month = jul, year = "1976", DOI = "", bibdate = "Tue Mar 19 09:35:07 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Crandall:1976:ETR, author = "R. E. Crandall and O. A. Bloom", title = "Existing technology reduces energy consumption by 25\%", journal = "Institutional Management", volume = "4", number = "5", pages = "??--??", month = may, year = "1976", DOI = "", bibdate = "Tue Mar 19 09:35:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Crandall:1977:P, author = "Richard Crandall and Peter Orno and M. S. Klamkin and Brian Hogan and G. A. Heuer and Thomas E. Elsner and Erwin Just and John Z. Hearon and Charles F. White and Robert S. Fisk and L. van Hamme and L. Carlitz and Mark Kleiman and Leon Gerber and Alan Wayne and M. G. Greening and Erwin Schmid and George Berzsenyi and Huseyin Demir and Clayton W. Dodge", title = "Problems", journal = j-MATH-MAG, volume = "50", number = "1", pages = "46--53", year = "1977", CODEN = "MAMGA8", ISSN = "0025-570X", MRnumber = "1572195", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.jstor.org/stable/2689756", acknowledgement = ack-nhfb, fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", } @Misc{Crandall:1978:MSI, author = "Richard E. Crandall and S. Apsell and A. Galvin", title = "Multiple sensor intrusion detection system", howpublished = "US Patent 4,321,592.", month = "", year = "1978", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Article{Crandall:1978:P, author = "R. E. Crandall", title = "On the ``$ 3 x + 1 $'' problem", journal = j-MATH-COMPUT, volume = "32", number = "144", pages = "1281--1292", month = oct, year = "1978", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A99", MRnumber = "0480321 (58 \#494)", MRreviewer = "Richard T. Bumby", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "$3x+1$ problem; Diophantine equation; number theory; positive odd integer", treatment = "T Theoretical or Mathematical", } @Article{Erdos:1978:P, author = "Paul Erdos and Edward T. H. Wang and W. R. Utz and A. K. Austin and F. David Hammer and Peter Orno and Mark Kleiman and Jordan I. Levy and Bernardo Recaman and John Hoyt and Richard Crandall and M. S. Klamkin and Paul Y. H. Yiu and Brian Hogan and Kenneth Klinger and Philip Straffin", title = "Problems", journal = j-MATH-MAG, volume = "51", number = "4", pages = "245--249", month = sep, year = "1978", CODEN = "MAMGA8", ISSN = "0025-570X", MRnumber = "1572276", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.jstor.org/stable/2689475", acknowledgement = ack-nhfb, fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", } @Article{Crandall:1979:SLT, author = "R. E. Crandall and M. A. Penk", title = "A Search for Large Twin Prime Pairs", journal = j-MATH-COMPUT, volume = "33", number = "145", pages = "383--388", month = jan, year = "1979", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2006051", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10J10)", MRnumber = "514834 (81a:10010)", MRreviewer = "H. J. Godwin", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "C4190 (Other numerical methods)", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "Hardy Littlewood twin prime conjecture; large twin prime pairs; Lucas Lehmer; number; number theory; parameters; primes; search; theory", treatment = "T Theoretical or Mathematical", } @Article{Crandall:1980:RS, author = "R. E. Crandall", title = "On the rings of {Saturn}", journal = "J. Oregon Acad. Sci.", volume = "??", number = "??", pages = "??--??", month = mar, year = "1980", DOI = "", bibdate = "Tue Mar 19 08:37:22 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Crandall:1981:ECD, author = "R. E. Crandall", title = "Electronic {Cavendish} device", journal = j-AMER-J-PHYSICS, volume = "49", number = "7", pages = "700--??", month = jul, year = "1981", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.4766298", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v49/i7/p700/s2", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1981:LDS, author = "R. E. Crandall and E. H. Wishnow", title = "Listening to the {Doppler} shift of visible light", journal = j-AMER-J-PHYSICS, volume = "49", number = "5", pages = "477--??", month = may, year = "1981", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.12481", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v49/i5/p477/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @InCollection{Stearns:1981:BHP, author = "S. C. Stearns and R. E. Crandall", editor = "G. G. E. Scudder and J. L. Reveal", booktitle = "Evolution today", title = "Bet-hedging and persistence as adaptations of colonizers", publisher = "Carnegie-Mellon University", address = "Pittsburgh, PA, USA", pages = "371--383", year = "1981", DOI = "", bibdate = "Tue Mar 19 09:25:24 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", series = "Hunt Institute for Botanical Documentation", URL = "", acknowledgement = ack-nhfb, } @Article{Stearns:1981:QPD, author = "Stephen C. Stearns and Richard E. Crandall", title = "Quantitative Predictions of Delayed Maturity", journal = j-EVOLUTION, volume = "35", number = "3", pages = "455--463", month = may, year = "1981", CODEN = "EVOLAO", ISSN = "0014-3820 (print), 1558-5646 (electronic)", ISSN-L = "0014-3820", bibdate = "Tue Mar 19 06:13:18 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.jstor.org/stable/pdfplus/2408194.pdf", acknowledgement = ack-nhfb, fjournal = "Evolution", } @Article{Buhler:1982:PF, author = "J. P. Buhler and R. E. Crandall and M. A. Penk", title = "Primes of the form {$ n! \pm 1 $} and {$ 2 \cdot 3 \cdot 5 \cdots p \pm 1 $}", journal = j-MATH-COMPUT, volume = "38", number = "158", pages = "639--643", month = apr, year = "1982", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2007298", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "10A25 (10A10)", MRnumber = "645679 (83c:10006)", MRreviewer = "Duncan A. Buell", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crandall:1982:EGS, author = "R. E. Crandall and Mary Hall Reno", title = "Erratum: ``{Ground} state energy bounds for potentials {$ x^{\nu } $}''\ {[J. Math. Phys. {\bf 23} (1982), no. 1, 64--70; MR 82m:81021]}", journal = j-J-MATH-PHYS, volume = "23", number = "9", pages = "1737--1737", month = sep, year = "1982", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525543", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81C05", MRnumber = "668124 (83k:81010)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", note = "See \cite{Crandall:1982:GSE}.", URL = "http://jmp.aip.org/resource/1/jmapaq/v23/i9/p1737_s2", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", pagecount = "1", } @Article{Crandall:1982:FIP, author = "Richard E. Crandall and David J. Griffiths and Nicholas A. Wheeler and Raymond A. Mayer", title = "Fields of an infinite plane of color", journal = j-PHYS-REV-D, volume = "25", number = "4", pages = "1143--1145", month = feb, year = "1982", CODEN = "PRVDAQ", DOI = "https://doi.org/10.1103/PhysRevD.25.1143", ISSN = "0556-2821 (print), 1089-4918 (electronic), 1538-4500 (CD-ROM)", ISSN-L = "0556-2821", bibdate = "Mon Mar 18 12:18:52 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aps.org/doi/10.1103/PhysRevD.25.1143; http://prd.aps.org/abstract/PRD/v25/i4/p1143_1", acknowledgement = ack-nhfb, fjournal = "Physical Review D (Particles and Fields)", journal-URL = "http://prd.aps.org/browse", } @Article{Crandall:1982:GSE, author = "R. E. Crandall and Mary Hall Reno", title = "Ground state energy bounds for potentials {$ x^{\nu } $}", journal = j-J-MATH-PHYS, volume = "23", number = "1", pages = "64--70", month = jan, year = "1982", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525207", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81C15", MRnumber = "640372 (82m:81021)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://jmp.aip.org/; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", note = "See erratum \cite{Crandall:1982:EGS}.", URL = "http://jmp.aip.org/resource/1/jmapaq/v23/i1/p64_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", pagecount = "7", } @Article{Crandall:1982:MAS, author = "R. E. Crandall", title = "Minimal apparatus for the speed-of-light measurement", journal = j-AMER-J-PHYSICS, volume = "50", number = "12", pages = "1157--??", month = dec, year = "1982", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.12912", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v50/i12/p1157/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1982:VML, author = "R. E. Crandall and Stephen C. Stearns", title = "Variational models of life-histories: when do solutions exist?", journal = j-THEOR-POPUL-BIOL, volume = "21", number = "1", pages = "11--23", year = "1982", CODEN = "TLPBAQ", DOI = "https://doi.org/10.1016/0040-5809(82)90003-X", ISSN = "0040-5809 (print), 1096-0325 (electronic)", ISSN-L = "0040-5809", MRclass = "92A17", MRnumber = "662519 (84b:92065)", MRreviewer = "Alan Hastings", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, ajournal = "Theoret. Population Biol.", fjournal = "Theoretical Population Biology", journal-URL = "http://www.sciencedirect.com/science/journal/00405809", xxnumber = "5", } @Article{Crandall:1983:ECD, author = "R. E. Crandall", title = "Electronic {Cavendish} device", journal = j-AMER-J-PHYSICS, volume = "51", number = "4", pages = "367--??", month = apr, year = "1983", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.13251", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "Abstract of 1981 Competition 1st Prize.", URL = "http://link.aip.org/link/ajpias/v51/i4/p367/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1983:EPM, author = "R. E. Crandall", title = "Exact propagator for motion confined to a sector", journal = j-J-PHYS-A, volume = "16", number = "3", pages = "513--519", day = "21", month = feb, year = "1983", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/16/3/011", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", bibdate = "Tue Mar 19 06:42:46 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://stacks.iop.org/0305-4470/16/i=3/a=011", abstract = "In certain situations the Feynman path integral 'collapses' into a countable sum over classical paths. This effect is sought in motion confined to a sector (in polar coordinates: r>or=0, 0<or= phi <or= alpha ). The exact space-time propagator is derived as a sum over a general nonclassical image set, with resulting structure radically dependent on number-theoretic properties of pi / alpha . It is shown that collapse occurs if and only if this number is an integer.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Article{Crandall:1983:EPR, author = "R. E. Crandall", title = "Exact propagator for reflectionless potentials", journal = j-J-PHYS-A, volume = "16", number = "13", pages = "3005--3011", day = "11", month = sep, year = "1983", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/16/13/023", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", bibdate = "Tue Mar 19 06:42:46 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://stacks.iop.org/0305-4470/16/i=13/a=023", abstract = "The exact space-time propagation for a general reflectionless potential is obtained in closed form involving error functions. It is indicated how bound states and transmission coefficients may be recovered from asymptotic behaviour of the propagator. A sum rule is derived that shows how the leading terms of the short-time form of the propagator can be used rigorously in a Feynman path integral formalism.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Article{Crandall:1983:FEA, author = "R. E. Crandall", title = "Fast eigenvalue algorithm for central potentials", journal = j-J-PHYS-A, volume = "16", number = "12", pages = "L395--L399", day = "21", month = aug, year = "1983", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/16/12/001", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "81C15 (81-08)", MRnumber = "715717 (85a:81024)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://stacks.iop.org/0305-4470/16/L395", abstract = "An algorithm is described that seeks out Schrodinger eigenvalues E nl for a given central potential V(r). The algorithm has, in principle, arbitrary precision. A particular implementation has absolute error mod E-E nl mod decreasing as T -3 , where T is machine computing time. The method is tested on the central Gaussian potential V(r)=-A exp(- lambda r 2 ) of recent interest.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Article{Crandall:1983:MAD, author = "R. E. Crandall and J. F. Delord", title = "Minimal apparatus for determination of {Planck}'s constant", journal = j-AMER-J-PHYSICS, volume = "51", number = "1", pages = "90--??", month = jan, year = "1983", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.13405", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v51/i1/p90/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1983:PME, author = "R. E. Crandall", title = "Photon mass experiment", journal = j-AMER-J-PHYSICS, volume = "51", number = "8", pages = "698--??", month = aug, year = "1983", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.13149", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v51/i8/p698/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1983:RTA, author = "R. E. Crandall and B. R. Litt", title = "Reassembly and time advance in reflectionless scattering", journal = j-ANN-PHYS, volume = "146", number = "2", pages = "458--469", year = "1983", CODEN = "ADNYA6", DOI = "https://doi.org/10.1016/0003-4916(83)90041-6", ISSN = "0003-4916 (print), 1096-035x (electronic)", ISSN-L = "0003-4916", MRclass = "81F05 (47A40)", MRnumber = "702213 (84m:81155)", MRreviewer = "T. Sasakawa", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, fjournal = "Annals of Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00034916", } @Article{Keller:1983:CPF, author = "Wilfred Keller", title = "Corrigendum: {``Primes of the form $ n! \pm 1 $ and $ 2 \cdot 3 \cdot 5 \cdots p \pm 1 $'' [Math. Comp. {\bf 38} (1982), no. 158, 639--643 and MR 83c:10006] by J. P. Buhler, R. E. Crandall and M. A. Penk}", journal = j-MATH-COMPUT, volume = "40", number = "162", pages = "727--727", month = apr, year = "1983", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A07 11A41)", MRnumber = "85b:11119", bibdate = "Wed Jan 15 08:51:30 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crandall:1984:EST, author = "R. Crandall and R. Whitnell and R. Bettega", title = "Exactly soluble two-electron atomic model", journal = j-AMER-J-PHYSICS, volume = "52", number = "5", pages = "438--??", month = may, year = "1984", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.13650", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v52/i5/p438/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1984:KGR, author = "R. E. Crandall and N. A. Wheeler", title = "{Klein--Gordon} radio and the problem of photon mass", journal = "Il Nuovo Cimento", volume = "80B", number = "2", pages = "??--??", month = apr, year = "1984", DOI = "", bibdate = "Tue Mar 19 08:40:50 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Book{Crandall:1984:PAS, author = "Richard E. Crandall", title = "{Pascal} applications for the sciences", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "x + 246", year = "1984", ISBN = "0-471-87242-3 (paperback)", ISBN-13 = "978-0-471-87242-9 (paperback)", LCCN = "Q183.9 .C73 1984", bibdate = "Tue Mar 19 08:16:20 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; z3950.loc.gov:7090/Voyager", price = "US\$16.95", series = "A Self-teaching guide", acknowledgement = ack-nhfb, author-dates = "1947--2012", subject = "Science; Data processing; Programmed instruction; Pascal (Computer program language); Computer programming", } @Article{McPhee:1984:PCG, author = "N. McPhee and R. E. Crandall", title = "{Pascal-86} color graphics package developed at {Reed College}", journal = "Intel Innovator Publication", volume = "5", number = "2", pages = "??--??", month = jun # "\slash " # jul, year = "1984", DOI = "", bibdate = "Tue Mar 19 09:33:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Russell:1984:GPI, author = "P. J. Russell and Richard E. Crandall and R. Feinbaum", title = "{GELYSIS}: {Pascal}-implemented analysis of one-dimensional electrophoresis gels", journal = j-NUCLEIC-ACIDS-RES, volume = "12", number = "1", pages = "493--498", year = "1984", CODEN = "NARHAD", ISSN = "0305-1048", ISSN-L = "0305-1048", bibdate = "Tue Mar 19 07:02:35 2013", bibsource = "http://dblp.uni-trier.de/db/journals/nar/nar12.html#RussellCF84; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, fjournal = "Nucleic Acids Research", xxnote = "Is this a different R E Crandall??", } @InCollection{Stearns:1984:PAS, author = "S. C. Stearns and R. E. Crandall", editor = "G. Potts and R. J. Wootton", booktitle = "Fish Reproduction", title = "Plasticity for age and size at sexual maturity: a life-history response to unavoidable stress", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "13--33", year = "1984", DOI = "", bibdate = "Tue Mar 19 09:23:02 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Crandall:1985:CES, author = "R. Crandall and R. Bettega and R. Whitnell", title = "A class of exactly soluble three-body problems", journal = j-J-CHEM-PHYS, volume = "83", number = "2", pages = "698--702", day = "15", month = jul, year = "1985", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.449483", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "81C05 (81G45 81G55)", MRnumber = "794975 (86h:81014)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", } @Book{Crandall:1986:SPM, author = "Richard E. Crandall and Marianne M. Colgrove", title = "Scientific programming with {Macintosh Pascal}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "vii + 279", year = "1986", ISBN = "0-471-82176-4 (paperback)", ISBN-13 = "978-0-471-82176-2 (paperback)", LCCN = "QA76.8.M3 C73 1986", bibdate = "Tue Mar 19 08:10:14 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; z3950.loc.gov:7090/Voyager", price = "US\$18.95", acknowledgement = ack-nhfb, author-dates = "1947--2012", subject = "Macintosh (Computer); Programming; Pascal (Computer program language); Science; Data processing", } @Article{Crandall:1987:EFE, author = "R. E. Crandall and J. P. Buhler", title = "Elementary function expansions for {Madelung} constants", journal = j-J-PHYS-A, volume = "20", number = "16", pages = "5497--5510", day = "11", month = nov, year = "1987", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/20/16/024", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A60 (82-08)", MRnumber = "MR924725 (88m:82034)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://stacks.iop.org/0305-4470/20/5497", abstract = "The Madelung constant-essentially the Coulomb energy density of a crystal-is usually calculated via Ewald error function expansions or, for the simpler cubic structures, by the 'cosech' series of modern vintage. By considering generalised functional equations for multidimensional zeta functions, the authors provide explicit expansions for the spatial potential and energy density of three-dimensional periodic structures. These formulae, involving only elementary functions, are suitable for systematic calculation of Madelung constants of arbitrary point-charge crystals. They indicate how zeta function relations may be used for dimensional reduction of certain multiple sums arising in the special cubic cases.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Article{Crandall:1987:IDM, author = "R. Crandall and M. McClellan and S. Arch and J. Doenias and R. Piper", title = "Inverse diffusion methods for data peak separation", journal = j-ANALYT-BIOCHEM, volume = "167", number = "??", pages = "15--22", month = "????", year = "1987", CODEN = "ANBCA2", DOI = "", ISSN = "0003-2697 (print), 1096-0309 (electronic)", ISSN-L = "0003-2697", bibdate = "Tue Mar 19 09:21:49 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Analytical biochemistry", } @Article{Crandall:1987:PWC, author = "R. E. Crandall and J. F. Delord", title = "The potential within a crystal lattice", journal = j-J-PHYS-A, volume = "20", number = "9", pages = "2279--2292", day = "21", month = jun, year = "1987", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/20/9/016", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "78A30 (65B20)", MRnumber = "895057 (88g:78006)", MRreviewer = "M. Lawrence Glasser", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://stacks.iop.org/0305-4470/20/2279", abstract = "The generalised Madelung problem, that of finding the spatial electric potential within a crystal lattice, is often approached via analytic function theory. But new results can be achieved through careful application of standard theorems from classical electrostatics. In this way the authors show that the celebrated Madelung constant for the NaCl crystal can be rigorously bounded through symmetry arguments devoid of summations. They derive new expansions of Madelung constants of general crystals: an absolutely convergent 'sine' series which has the advantage of non-alternating summands, and an 'exponential' series which agrees in the simple cubic cases with the 'cosech' expansions of previous authors. Finally, the authors show how the NaCl Coulomb singularity may be removed to yield a regular power series expansion for the potential well at the origin.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Article{Crandall:1987:WRB, author = "R. E. Crandall and S. G. Gillespie", title = "Welcome to the {Rascal Billiard Parlour}", journal = "MacA.P.P.L.E.", volume = "??", number = "??", pages = "??--??", month = mar, year = "1987", DOI = "", bibdate = "Tue Mar 19 09:31:25 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Crandall:1988:BRM, author = "R. E. Crandall", title = "Book Review: {{\booktitle{The Media Lab: Inventing the Future at MIT}, by Stewart Brand}}", journal = j-COMPUT-PHYS, volume = "2", number = "1", pages = "91--??", month = jan, year = "1988", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4822669", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Mon Mar 18 12:29:27 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/computphys.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4822669", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @Article{Crandall:1988:NSR, author = "Richard E. Crandall", title = "Notes on Simulation and Reality [editorial]", journal = j-COMPUT-PHYS, volume = "2", number = "3", pages = "102--??", month = may # "\slash " # jun, year = "1988", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4822714", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Mon Mar 18 12:30:53 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/computphys.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4822714", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", author-dates = "1947--2012", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @Article{Crandall:1989:HMC, author = "R. E. Crandall and T. G. Dunne", title = "Heuristic methods for counting and sizing of molecules in the liquid state", journal = j-AMER-J-PHYSICS, volume = "57", pages = "346--351", year = "1989", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.16045", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v57/i4/p346/s1", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Buhler:1990:CPL, author = "J. P. Buhler and R. E. Crandall", title = "On the convergence problem for lattice sums", journal = j-J-PHYS-A, volume = "23", number = "12", pages = "2523--2528", day = "21", month = jun, year = "1990", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/23/12/029", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82B20 (11P21)", MRnumber = "1063575 (91h:82008)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://stacks.iop.org/0305-4470/23/2523", abstract = "Three-dimensional lattice sums Sigma +or-r -s , where r is the distance to a +or- charged lattice point, arise in classical lattice point problems (s=0) and the Madelung problem of physics and chemistry (s=1). In the latter case the sum over an infinite lattice is purely formal and the value of the Madelung constant must be defined precisely, e.g., via related convergent sums or analytic continuation in s. Indeed, the partial sum over the sphere r(R) does not converge as R becomes large. The authors verify a conjecture of J F Delord (1988) that convergence can be obtained by neutralising each sphere with an appropriate surface charge. Specifically, if L R (s) is the sum over the lattice points in the sphere r(R) then, for neutrally charged lattices, they show that as R goes to infinity the difference L R (s)-R -s L R (0) approaches L(s), where L(s) is defined by analytic continuation. When s=1 the term L(1) is the Madelung constant and L R (0)/R is the Coulombic correction term.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Article{Crandall:1990:NCP, author = "Richard E. Crandall", title = "The {NeXT} Computer as Physics Machine", journal = j-COMPUT-PHYS, volume = "4", number = "2", pages = "132--141", month = mar # "--" # apr, year = "1990", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4822897", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Sep 28 20:21:01 MDT 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/computphys.bib; https://www.math.utah.edu/pub/tex/bib/mach.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4822897", acknowledgement = ack-ble # " \slash" # ack-nhfb, ajournal = "Comput. Phys", author-dates = "1947--2012", classification = "C7320 (Physics and Chemistry)", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", keywords = "Application interfaces; Application Kit; Computational physics; Debugging tools; Dense graphics; Displayed graphics; Experiment; Interface Builder; Mach UNIX-compatible operating system; Mathematica application; Messaging; Multitasking; NeXT Computer; Object-oriented interface; Objective-C compiler; Physics machine; Physics modeling; PostScript imaging model; Printed graphics; Profiling tools; Theory; Window environment", thesaurus = "Digital simulation; Microcomputer applications; Microcomputers; Physics computing", } @Article{Crandall:1991:ICH, author = "Richard E. Crandall", title = "'Idle' computers hunt for big primes", journal = j-NEW-SCIENTIST, volume = "??", number = "??", pages = "??--??", day = "2", month = mar, year = "1991", CODEN = "NWSCAL", DOI = "", ISSN = "0262-4079 (print), 1364-8500 (electronic)", ISSN-L = "0262-4079", bibdate = "Tue Mar 19 09:28:44 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "New Scientist", journal-URL = "http://www.sciencedirect.com/science/journal/02624079", } @Book{Crandall:1991:MSa, author = "Richard E. Crandall", title = "{Mathematica} for the Sciences", publisher = pub-AW, address = pub-AW:adr, pages = "xiii + 300", year = "1991", ISBN = "0-201-51001-4", ISBN-13 = "978-0-201-51001-0", LCCN = "Q172 .C73 1991", bibdate = "Sun May 02 07:59:43 1999", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", note = "See \cite{Crandall:1991:MSb}.", acknowledgement = ack-nhfb, author-dates = "1947--2012", keywords = "Mathematica (Computer file); Science --- Mathematics --- Data processing; Science --- Use of --- Software", } @Book{Crandall:1991:MSb, author = "Richard E. Crandall", title = "{Mathematica} for the Sciences", publisher = pub-AW # " and " # pub-TOPPAN, address = pub-AW:adr # " and " # pub-TOPPAN:adr, pages = "315", year = "1991", ISBN = "4-8101-8036-0", ISBN-13 = "978-4-8101-8036-7", LCCN = "????", bibdate = "Sun Apr 07 08:58:17 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", note = "Japanese translation of \cite{Crandall:1991:MSa}.", acknowledgement = ack-nhfb, author-dates = "1947--2012", } @Article{Crandall:1991:SPH, author = "Richard E. Crandall", title = "Symbolic processors help physics", journal = j-COMPUT-PHYS, volume = "??", number = "??", pages = "??--??", month = oct, year = "1991", CODEN = "CPHYE2", DOI = "", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Tue Mar 19 09:29:59 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @Article{Crandall:1991:SSS, author = "Richard E. Crandall", title = "Symbolic Software Supports New Adventures in Physics", journal = j-COMPUT-PHYS, volume = "5", number = "6", pages = "576--579", month = nov # "\slash " # dec, year = "1991", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4823027", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Apr 6 16:22:44 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4823027", acknowledgement = ack-ble # " \slash" # ack-nhfb, ajournal = "Comput. Phys", author-dates = "1947--2012", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @Article{Buhler:1992:IPO, author = "J. P. Buhler and R. E. Crandall and R. W. Sompolski", title = "Irregular Primes to One Million", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "717--722", month = oct, year = "1992", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153086", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y35 (11B68 11D41 65T20)", MRnumber = "1134717 (93a:11106)", MRreviewer = "Duncan A. Buell", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Misc{Crandall:1992:MAP, author = "Richard E. Crandall", title = "Method and apparatus for public key exchange in a cryptographic system", howpublished = "US Patent 5,159,632.", month = "", year = "1992", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Article{Buhler:1993:IPC, author = "J. Buhler and R. Crandall and R. Ernvall and T. Mets{\"a}nkyl{\"a}", title = "Irregular primes and cyclotomic invariants to four million", journal = j-MATH-COMPUT, volume = "61", number = "203", pages = "151--153", month = jul, year = "1993", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2152942", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B68 (11D41 11R29 11Y35 11Y40)", MRnumber = "1197511 (93k:11014)", MRreviewer = "Harvey Cohn", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crandall:1993:CAF, author = "Richard E. Crandall", title = "Combinatorial approach to {Feynman} path integration", journal = j-J-PHYS-A, volume = "26", number = "14", pages = "3627--3648", day = "21", month = jul, year = "1993", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/26/14/024", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "81S40 (58D30)", MRnumber = "1236586 (94e:81157)", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib", URL = "http://stacks.iop.org/0305-4470/26/3627", abstract = "Combinatorial relations can be used to convert the non-relativistic time-sliced Feynman path integral into perturbation expansions. These methods reveal that when the time interval is sliced into N increments, each order of perturbation theory sustains an error O(1/ square root N). In this way the author provides exact path integral results for the following potentials: delta-function comb, finite well, tunnelling barrier, and a generalized exponential cusp. For the tunnelling barrier it is seen how the celebrated (-1) reflection factor arises in the limit of infinite barrier height. The one-dimensional Coulomb problem is solved as a limiting case of the exponential cusp. In addition, for power potentials the author indicates how this path integral approach yields sometimes divergent, nevertheless asymptotic perturbation expansions.", acknowledgement = ack-nhfb, author-dates = "1947--2012", fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Misc{Crandall:1993:MAP, author = "Richard E. Crandall", title = "Method and apparatus for public key exchange in a cryptographic system", howpublished = "US Patent 5,271,061.", month = "", year = "1993", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Article{Powell:1993:LDS, author = "J. Powell and R. Crandall", title = "Lattice Dynamics for a Simplified {DNA} Model", journal = j-MATHEMATICA-EDUC, volume = "2", number = "3", pages = "15--20", year = "1993", ISSN = "1065-2965", bibdate = "Sat Apr 6 16:22:40 1996", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", acknowledgement = ack-ble, fjournal = "Mathematica in Education", } @Article{Crandall:1994:DWT, author = "Richard Crandall and Barry Fagin", title = "Discrete weighted transforms and large-integer arithmetic", journal = j-MATH-COMPUT, volume = "62", number = "205", pages = "305--324", month = jan, year = "1994", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153411", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51 11Y05)", MRnumber = "1185244 (94c:11123)", MRreviewer = "Duncan A. Buell", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.jstor.org/stable/pdfplus/2153411.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Crandall:1994:EES, author = "Richard E. Crandall and Joe P. Buhler", title = "On the evaluation of {Euler} sums", journal = j-EXP-MATH, volume = "3", number = "4", pages = "275--285", month = "????", year = "1994", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11M41 (11Y35)", MRnumber = "1341720 (96e:11113)", MRreviewer = "D. R. Heath-Brown", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://projecteuclid.org/euclid.em/1048515810", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Misc{Crandall:1994:MAP, author = "Richard E. Crandall", title = "Method and apparatus for public key exchange in a cryptographic system", howpublished = "US Patent 5,463,690.", month = "", year = "1994", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Book{Crandall:1994:PSC, author = "Richard E. Crandall", title = "Projects in Scientific Computation", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "xxiv + 470", year = "1994", DOI = "https://doi.org/10.1007/978-1-4612-4324-3", ISBN = "0-387-97808-9", ISBN-13 = "978-0-387-97808-6", LCCN = "Q183.9.P733 1994", MRclass = "65-00 (34-04 42-04 65-01)", MRnumber = "1258083 (95d:65001)", MRreviewer = "G. Opfer", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "With one Macintosh/IBM-PC floppy disk (3.5 inch)", price = "US\$49.95", acknowledgement = ack-nhfb, author-dates = "1947--2012", xxpages = "xvi + 470", } @Article{Crandall:1995:TSF, author = "R. Crandall and J. Doenias and C. Norrie and J. Young", title = "The twenty-second {Fermat} number is composite", journal = j-MATH-COMPUT, volume = "64", number = "210", pages = "863--868", month = apr, year = "1995", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153456", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51)", MRnumber = "1277765 (95f:11104)", MRreviewer = "Duncan A. Buell", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, affiliation = "NeXT Comput. Inc., Redwood City, CA, USA", classcodes = "C4240 (Programming and algorithm theory); C1160 (Combinatorial mathematics)", corpsource = "NeXT Comput. Inc., Redwood City, CA, USA", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "composite; extant cofactors; Fermat number; machine proof; number theory; theorem proving", treatment = "T Theoretical or Mathematical", } @Misc{Crandall:1996:MAD, author = "Richard E. Crandall", title = "Method and apparatus for {Digital Signature Authentication}", howpublished = "US Patent 5,581,616.", month = "", year = "1996", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Article{Crandall:1996:QZF, author = "Richard E. Crandall", title = "On the quantum zeta function", journal = j-J-PHYS-A, volume = "29", number = "21", pages = "6795--6816", day = "7", month = nov, year = "1996", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/29/21/014", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "81Q10 (58G26 58Z05)", MRnumber = "1421901 (97k:81042)", MRreviewer = "Alfred Actor", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, author-dates = "1947--2012", fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/0305-4470/", } @Book{Crandall:1996:TAS, author = "Richard E. Crandall", title = "Topics in Advanced Scientific Computation", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "ix + 340", year = "1996", DOI = "https://doi.org/10.1007/978-1-4612-2334-4", ISBN = "0-387-94473-7", ISBN-13 = "978-0-387-94473-9", LCCN = "QA9.58.C73 1996", MRclass = "65-02 (68-02 68Q40)", MRnumber = "1392472 (97g:65005)", MRreviewer = "Ian Gladwell", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib; https://www.math.utah.edu/pub/tex/bib/numana1990.bib", note = "Includes programs in C and Mathematica.", price = "US\$39.95", acknowledgement = ack-nhfb, author-dates = "1947--2012", tableofcontents = "1: Selected numerical algorithms \\ Variants of the Newton method / 1 \\ Fast divide and mod algorithms / 7 \\ Fast multiplication / 11 \\ Matrix algebra / 16 \\ Polynomial arithmetic / 21 \\ 2: Evaluation of constants and functions \\ Celebrated constants / 37 \\ Riemann zeta function / 49 \\ Multidimensional sums / 68 \\ Examples of special function evaluation /82 \\ 3: Number-theoretical algorithms \\ Primes / 89 \\ Bernoulli numbers / 116 \\ Factoring / 125 \\ Fermat numbers / 140 \\ 4: Transforms \\ FFT and related algorithms / 149 \\ Walsh--Hadamard transform / 167 \\ Wavelets / 171 \\ Convolution / 179 \\ 5: Nonlinear and complex systems \\ N-body problems and chaos / 215 \\ Nonlinear differential systems / 222 \\ Fractal analysis / 229 \\ Learning algorithms / 233 \\ An old and beautiful nonlinear system / 238 \\ 6: Data manipulation \\ Signal synthesis, detection and modeling / 249 \\ General data compression / 267 \\ Sound and image compression / 275 \\ Appendix / 285 \\ References / 319 \\ Index / 331", xxpages = "xii + 340", } @Article{Bailey:1997:KC, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall", title = "On the {Khintchine} constant", journal = j-MATH-COMPUT, volume = "66", number = "217", pages = "417--431", month = jan, year = "1997", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-97-00800-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (11K50 11Y65)", MRnumber = "1377659 (97c:11119)", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.ams.org/mcom/1997-66-217; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-97-00800-4&u=/mcom/1997-66-217/; http://www.jstor.org/stable/pdfplus/2153664.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @TechReport{Brent:1997:TNF, author = "Richard P. Brent and Richard E. Crandall and Karl Dilcher", title = "Two New Factors of {Fermat} Numbers", number = "TR-CS-97-11", institution = "Department of Computer Science, The Australian National University", address = "Canberra 0200, ACT, Australia", pages = "9", month = may, year = "1997", bibdate = "Tue Mar 19 07:08:43 2013", bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Techreports/ANU.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://cs.anu.edu.au/techreports/1997/TR-CS-97-11.pdf; http://cs.anu.edu.au/techreports/1997/TR-CS-97-11.ps.gz", abstract = "We report the discovery of new 27-decimal digit factors of the thirteenth and sixteenth Fermat numbers. Each of the new factors was found by the elliptic curve method. After division by the new factors and other known factors, the quotients are seen to be composite numbers with 2,391 and 19,694 decimal digits respectively.", acknowledgement = ack-nhfb, } @Article{Crandall:1997:BRB, author = "Richard E. Crandall", title = "Book Review: {{\booktitle{Computation of Special Functions}}, by Shanjie Zhang and Jianming Jin}", journal = j-AMER-J-PHYSICS, volume = "65", number = "4", pages = "355--355", month = apr, year = "1997", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.18543", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Mon Mar 18 12:32:24 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://ajp.aapt.org/resource/1/ajpias/v65/i4/p355_s1", acknowledgement = ack-nhfb, author-dates = "1947--2012", fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @Article{Crandall:1997:CLN, author = "Richard E. Crandall", title = "The Challenge of Large Numbers", journal = j-SCI-AMER, volume = "276", number = "2", pages = "74--78", month = feb, year = "1997", CODEN = "SCAMAC", DOI = "https://doi.org/10.1038/scientificamerican0297-74", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Sat Nov 11 18:07:43 MST 2000", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; http://www.sciam.com/1997/0207issue/0207quicksummary.html", URL = "http://www.nature.com/scientificamerican/journal/v276/n2/pdf/scientificamerican0297-74.pdf; http://www.sciam.com/0297issue/0297currentissue.html", abstract = "In the third century B.C., Archimedes calculated the sum of all the sand grains it would take to fill the then known universe. That's a pretty good-size number, but it's small potatoes compared with mathematicians' ever expanding notions of how large meaningful numbers can be.", acknowledgement = ack-nhfb, author-dates = "1947--2012", fjournal = "Scientific American", journal-URL = "http://www.nature.com/scientificamerican", } @TechReport{Crandall:1997:FPC, author = "Richard E. Crandall", title = "Floating-point convolutions of length $ 3 \times 2^k $", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "4", year = "1997", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/con32k.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:1997:OTD, author = "Richard E. Crandall and J. Farrell", title = "Optimization of two dimensional real convolutions", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "6", year = "1997", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/con2d.pdf", acknowledgement = ack-nhfb, } @Article{Crandall:1997:SWW, author = "Richard Crandall and Karl Dilcher and Carl Pomerance", title = "A search for {Wieferich} and {Wilson} primes", journal = j-MATH-COMPUT, volume = "66", number = "217", pages = "433--449", month = jan, year = "1997", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-97-00791-6", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11A07 (11Y35)", MRnumber = "1372002 (97c:11004)", MRreviewer = "Fran{\c{c}}ois Morain", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.ams.org/mcom/1997-66-217; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-97-00791-6&u=/mcom/1997-66-217/; http://www.jstor.org/stable/pdfplus/2153665.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @TechReport{Borwein:1998:CSR, author = "Jonathan M. Borwein and David M. Bradley and Richard E. Crandall", title = "Computational Strategies for the {Riemann} Zeta Function", type = "Report", number = "CECM-98-118", institution = inst-CECM, address = inst-CECM:adr, pages = "68", day = "30", month = oct, year = "1998", bibdate = "Mon Oct 24 11:29:15 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "Published in \cite{Borwein:2000:CSR}.", URL = "http://docserver.carma.newcastle.edu.au/211; http://people.reed.edu/~crandall/papers/attach01.pdf", abstract = "We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae ranging from historical attempts to recently found convergent series to curious oddities old and new. We concentrate primarily on practical computational issues, such issues depending on the domain of the argument, the desired speed of computation, and the incidence of what we call ``value recycling.''", acknowledgement = ack-nhfb, author-dates = "Jonathan Michael Borwein (20 May 1951--2 August 2016); Richard Eugene Crandall (29 December 1947--20 December 2012)", ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646", } @InProceedings{Crandall:1998:ACA, author = "Richard E. Crandall", editor = "????", booktitle = "{Proceedings of the RSA Conference, San Francisco, CA, January 1998}", title = "Advances in Cryptographic Algorithms: New Discoveries", publisher = "????", address = "????", pages = "", year = "1998", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Tue Mar 19 10:06:31 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, } @TechReport{Crandall:1998:ASF, author = "Richard E. Crandall", title = "Applications of space-filling curves", type = "Report", institution = "Reed College", address = "Portland, OR, USA", year = "1998", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, } @TechReport{Crandall:1998:FEE, author = "Richard E. Crandall", title = "Fast evaluation of {Epstein} zeta functions", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "11", year = "1998", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/epstein.pdf", acknowledgement = ack-nhfb, } @Article{Crandall:1998:FEM, author = "Richard E. Crandall", title = "Fast evaluation of multiple zeta sums", journal = j-MATH-COMPUT, volume = "67", number = "223", pages = "1163--1172", month = jul, year = "1998", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-98-00950-8", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11M41 (11Y60)", MRnumber = "1459385 (98j:11066)", MRreviewer = "Dirk Kreimer", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.ams.org/mcom/1998-67-223; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-98-00950-8&u=/mcom/1998-67-223/; http://www.jstor.org/stable/pdfplus/2585176.pdf", acknowledgement = ack-nhfb, author-dates = "1947--2012", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @InProceedings{Crandall:1998:KSB, author = "Richard E. Crandall", editor = "????", booktitle = "{Worldwide Mathematica Conference, Chicago, IL, June 1998}", title = "Keynote Speech: Breaking Numerical Records with {Mathematica}", volume = "??", publisher = "????", address = "????", pages = "??--??", year = "1998", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, keywords = "Richard E. Crandall", } @Book{Crandall:1998:NOL, author = "Richard E. Crandall and Marvin Levich", title = "A network orange: logic and responsibility in the {Computer Age}", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 130", year = "1998", ISBN = "0-387-94647-0", ISBN-13 = "978-0-387-94647-4", LCCN = "QA76.9.C66 C73 1998", bibdate = "Tue Mar 19 08:07:46 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; z3950.loc.gov:7090/Voyager", note = "With a foreword by Howard Rheingold.", acknowledgement = ack-nhfb, author-dates = "1947--2012", subject = "Computers and civilization; Computers; Moral and ethical aspects", } @Article{Crandall:1999:CLE, author = "Richard Crandall and Uli Hofmann and Richard L. Lozes", title = "Contrast limitations in electron-beam lithography", journal = j-J-VAC-SCI-TECHNOL-B, volume = "17", number = "6", pages = "2945--2947", month = nov # "\slash " # dec, year = "1999", CODEN = "JVSTBM", DOI = "https://doi.org/10.1116/1.590930", ISSN = "1071-1023 (print), 1520-8567 (electronic)", ISSN-L = "0734-2101", bibdate = "Tue Mar 19 09:10:24 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://scitation.aip.org/content/avs/journal/jvstb/17/6/10.1116/1.590930", acknowledgement = ack-nhfb, fjournal = "Journal of Vacuum Science \& Technology, B: Microelectronics and Nanometer Structures--Processing, Measurement, and Phenomena", journal-URL = "http://scitation.aip.org/content/avs/journal/jvstb", } @TechReport{Crandall:1999:ICS, author = "Richard E. Crandall", title = "Integer convolution via split-radix fast {Galois} transform", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "4", year = "1999", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/confgt.pdf", acknowledgement = ack-nhfb, } @Article{Crandall:1999:NRM, author = "Richard E. Crandall", title = "New representations for the {Madelung} constant", journal = j-EXP-MATH, volume = "8", number = "4", pages = "367--379", month = "????", year = "1999", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60 (11E45 11M35 33E20 33F05)", MRnumber = "1737232 (2000m:11125)", MRreviewer = "David Bradley", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://projecteuclid.org/euclid.em/1047262358", acknowledgement = ack-nhfb, author-dates = "1947--2012", fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @TechReport{Crandall:1999:PPR, author = "Richard E. Crandall", title = "Parallelization of {Pollard}-rho factorization", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "14", year = "1999", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/parrho.pdf", acknowledgement = ack-nhfb, } @Article{Crandall:1999:SPK, author = "Richard E. Crandall and Steve Jobs", title = "Seybold Publisher's Keynote on educational supercomputing", journal = "????", volume = "??", number = "??", pages = "??--??", month = "", year = "1999", DOI = "", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.youtube.com/watch?v=89Y8bjVEZ8E", acknowledgement = ack-nhfb, keywords = "Richard E. Crandall", } @Misc{Crandall:1999:ULC, author = "Richard E. Crandall", title = "Universal lossless compressor for digitized analog data", howpublished = "US Patent 6,433,707.", month = "", year = "1999", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @TechReport{Crandall:1999:VIC, author = "R. E. Crandall and J. Klivington", title = "Vector implementation of color-image wavelet transform", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "15", day = "25", month = oct, year = "1999", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://images.apple.com/acg/pdf/g4wavelet.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:1999:VIM, author = "Richard E. Crandall and Jason Klivington", title = "Vector implementation of multiprecision arithmetic", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "11", day = "25", month = oct, year = "1999", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://images.apple.com/acg/pdf/G4multiprecision.pdf", acknowledgement = ack-nhfb, } @Article{Hofmann:1999:FPS, author = "U. Hofmann and R. Crandall and L. Johnson", title = "Fundamental performance of state-of the-art proximity effect correction methods", journal = j-J-VAC-SCI-TECHNOL-B, volume = "17", number = "6", pages = "2940--2944", month = nov # "\slash " # dec, year = "1999", CODEN = "JVSTBM", DOI = "", ISSN = "1071-1023 (print), 1520-8567 (electronic)", ISSN-L = "0734-2101", bibdate = "Tue Mar 19 09:11:21 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Journal of Vacuum Science \& Technology, B: Microelectronics and Nanometer Structures--Processing, Measurement, and Phenomena", journal-URL = "http://scitation.aip.org/content/avs/journal/jvstb", } @TechReport{Bailey:199x:KC, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall", title = "On the {Khintchine} constant", type = "Report", institution = inst-CECM, address = inst-CECM:adr, pages = "19", year = "199x", bibdate = "Wed Aug 31 08:55:14 2022", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "Published in \cite{Bailey:1997:KC}", acknowledgement = ack-nhfb, author-dates = "Jonathan Michael Borwein (20 May 1951--2 August 2016)", ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646", remark = "Undated.", } @Article{Borwein:2000:CSR, author = "Jonathan M. Borwein and David M. Bradley and Richard E. Crandall", title = "Computational Strategies for the {Riemann} Zeta Function", journal = j-J-COMPUT-APPL-MATH, volume = "121", number = "1--2", pages = "247--296", month = sep, year = "2000", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/S0377-0427(00)00336-8", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "11M06 (11Y35 33F05)", MRnumber = "1780051 (2001h:11110)", MRreviewer = "Cem Y. Y{\i}ld{\i}r{\i}m", bibdate = "Mon Oct 24 11:41:28 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "Numerical analysis in the 20th century, Vol. I, Approximation theory", URL = "http://people.reed.edu/~crandall/papers/attach01.pdf", abstract = "We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae ranging from historical attempts to recently found convergent series to curious oddities old and new. We concentrate primarily on practical computational issues, such issues depending on the domain of the argument, the desired speed of computation, and the incidence of what we call ``value recycling''.", acknowledgement = ack-nhfb, author-dates = "Jonathan Michael Borwein (20 May 1951--2 August 2016)", fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", ORCID-numbers = "Borwein, Jonathan/0000-0002-1263-0646", remark = "CECM Preprint 98:118.", } @Article{Brent:2000:TNF, author = "R. P. Brent and R. E. Crandall and K. Dilcher and C. {Van Halewyn}", title = "Three new factors of {Fermat} numbers", journal = j-MATH-COMPUT, volume = "69", number = "231", pages = "1297--1304", month = jul, year = "2000", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-00-01207-2", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y05 (11A51)", MRnumber = "1697645 (2000j:11194)", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.ams.org/mcom/2000-69-231; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib", URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-00-01207-2; http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01207-2/S0025-5718-00-01207-2.dvi; http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01207-2/S0025-5718-00-01207-2.pdf; http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01207-2/S0025-5718-00-01207-2.ps; http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01207-2/S0025-5718-00-01207-2.tex", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @TechReport{Crandall:2000:ALD, author = "Richard E. Crandall", title = "Algorithms for localized dart-throwing", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "9", year = "2000", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/darts.pdf", acknowledgement = ack-nhfb, } @Misc{Crandall:2000:CSU, author = "Richard E. Crandall", title = "Cryptographic system using chaotic dynamics", howpublished = "US Patent 6,587,563.", month = "", year = "2000", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @TechReport{Crandall:2000:FEC, author = "Richard E. Crandall", title = "Fast evaluation for a certain class of lattice sums", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "5", year = "2000", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/zeta2D.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:2000:FMA, author = "Richard E. Crandall", title = "Fast matrix algebra on {Apple G4}", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "14", day = "29", month = feb, year = "2000", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://images.apple.com/acg/pdf/g4_matrix072804.pdf", acknowledgement = ack-nhfb, } @Misc{Crandall:2000:MAS, author = "Richard E. Crandall", title = "Method and apparatus for simultaneously encrypting and compressing data", howpublished = "US Patent 6,154,542.", month = "????", year = "2000", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @TechReport{Crandall:2000:PGE, author = "Richard E. Crandall", title = "{PowerPC G4} for Engineering, Science, and Education", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", year = "2000", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, } @TechReport{Crandall:2000:SSF, author = "R. E. Crandall and J. Klivington", title = "Supercomputer-style {FFT} library for {Apple G4}", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "24", day = "6", month = jan, year = "2000", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://images.apple.com/acg/pdf/g4fft.pdf", acknowledgement = ack-nhfb, } @Article{Bailey:2001:RCF, author = "David H. Bailey and Richard E. Crandall", title = "On the Random Character of Fundamental Constant Expansions", journal = j-EXP-MATH, volume = "10", number = "2", pages = "175--190", month = jun, year = "2001", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11K16 (37A45)", MRnumber = "1837669 (2002h:11067)", MRreviewer = "Greg Martin", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://projecteuclid.org/euclid.em/999188630", abstract = "We propose a theory to explain random behavior for the digits in the expansions of fundamental mathematical constants. At the core of our approach is a general hypothesis concerning the distribution of the iterates generated by dynamical maps. On this main hypothesis, one obtains proofs of base-2 normality---namely bit randomness in a specific technical sense---for a collection of celebrated constants, including $ \pi $, $ \log 2 $, $ \zeta (3) $, and others. Also on the hypothesis, the number $ \zeta (5) $ is either rational or normal to base 2. We indicate a research connection between our dynamical model and the theory of pseudorandom number generators.", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Buhler:2001:IPC, author = "Joe Buhler and Richard Crandall and Reijo Ernvall and Tauno Mets{\"a}nkyl{\"a} and M. Amin Shokrollahi", title = "Irregular Primes and Cyclotomic Invariants to $ 12 $ Million", journal = j-J-SYMBOLIC-COMP, volume = "31", number = "1--2", pages = "89--96", month = jan # "/" # feb, year = "2001", CODEN = "JSYCEH", DOI = "https://doi.org/10.1006/jsco.1999.1011", ISSN = "0747-7171 (print), 1095-855X (electronic)", ISSN-L = "0747-7171", MRclass = "11Y40 (11R18)", MRnumber = "1806208 (2001m:11220)", MRreviewer = "Xavier-Fran{\c{c}}ois Roblot", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.idealibrary.com/cgi-bin/links/toc/sy; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/jsymcomp.bib", note = "Computational algebra and number theory (Milwaukee, WI, 1996)", URL = "http://www.idealibrary.com/links/doi/10.1006/jsco.1999.1011; http://www.idealibrary.com/links/doi/10.1006/jsco.1999.1011/pdf; http://www.idealibrary.com/links/doi/10.1006/jsco.1999.1011/ref", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", } @Misc{Crandall:2001:MAF, author = "Richard E. Crandall and B. Garst", title = "Method and apparatus for Fast Elliptic Encryption with Direct Embedding", howpublished = "US Patent 6,307,935.", month = "", year = "2001", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Book{Crandall:2001:PNC, author = "Richard Crandall and Carl Pomerance", title = "Prime Numbers: a Computational Perspective", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 545", year = "2001", DOI = "https://doi.org/10.1007/978-1-4684-9316-0", ISBN = "0-387-94777-9", ISBN-13 = "978-0-387-94777-8", LCCN = "QA246 .C74 2001", MRclass = "11A41 (11-02 11A51 11Y05 11Y11 11Y16 11Y35)", MRnumber = "1821158 (2002a:11007)", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, remark = "While not strictly about pseudorandom numbers, Chapter 8 of this book discusses applications of prime numbers to cryptography, random-number generation, and quasi-Monte Carlo methods.", xxpages = "xvi + 545", } @Article{Bailey:2002:RGN, author = "David H. Bailey and Richard E. Crandall", title = "Random Generators and Normal Numbers", journal = j-EXP-MATH, volume = "11", number = "4", pages = "527--546 (2003)", month = "????", year = "2002", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11K16 (11K45)", MRnumber = "1969644 (2004c:11135)", MRreviewer = "Arne Winterhof", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://projecteuclid.org/euclid.em/1057864662", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @TechReport{Crandall:2002:OPF, author = "R. E. Crandall and J. Papadopoulos", title = "Octuple-precision floating point on {Apple G4}", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "8", day = "8", month = may, year = "2002", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://images.apple.com/acg/pdf/oct3a.pdf", acknowledgement = ack-nhfb, } @Article{Barabasi:2003:LNS, author = "Albert-L{\'a}szl{\'o} Barab{\'a}si and R. E. Crandall", title = "Linked: The New Science of Networks", journal = j-AMER-J-PHYSICS, volume = "71", number = "4", pages = "409--??", month = apr, year = "2003", CODEN = "AJPIAS", DOI = "https://doi.org/10.1119/1.1538577", ISSN = "0002-9505 (print), 1943-2909 (electronic)", ISSN-L = "0002-9505", bibdate = "Tue Mar 19 08:22:29 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://link.aip.org/link/ajpias/v71/i4/p409/s2", acknowledgement = ack-nhfb, fjournal = "American Journal of Physics", journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp", } @TechReport{Crandall:2003:IAC, author = "R. E. Crandall and J. Papadopoulos", title = "On the implementation of {AKS}-class primality tests", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "9", day = "18", month = mar, year = "2003", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://images.apple.com/acg/pdf/aks3.pdf", acknowledgement = ack-nhfb, } @Misc{Crandall:2003:MAF, author = "Richard E. Crandall", title = "Method and apparatus for fast convolution using spline kernel", howpublished = "US Patent 6,701,028.", month = "", year = "2003", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Article{Crandall:2003:TFF, author = "Richard E. Crandall and Ernst W. Mayer and Jason S. Papadopoulos", title = "The twenty-fourth {Fermat} number is composite", journal = j-MATH-COMPUT, volume = "72", number = "243", pages = "1555--1572 (electronic)", month = jul, year = "2003", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-02-01479-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y11 (11A51 68Q25)", MRnumber = "1972753 (2004c:11236)", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.ams.org/mcom/2003-72-243; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib", URL = "http://www.ams.org/journal-getitem?pii=S0025-5718-02-01479-5; http://www.ams.org/mcom/2003-72-243/S0025-5718-02-01479-5/S0025-5718-02-01479-5.dvi; http://www.ams.org/mcom/2003-72-243/S0025-5718-02-01479-5/S0025-5718-02-01479-5.pdf; http://www.ams.org/mcom/2003-72-243/S0025-5718-02-01479-5/S0025-5718-02-01479-5.ps; http://www.ams.org/mcom/2003-72-243/S0025-5718-02-01479-5/S0025-5718-02-01479-5.tex; http://www.jstor.org/stable/pdfplus/4099850.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bailey:2004:BEA, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and Carl Pomerance", title = "On the Binary Expansions of Algebraic Numbers", journal = "Journal of Number Theory {Bordeaux}", volume = "16", number = "3", pages = "487--518", month = "????", year = "2004", CODEN = "????", ISSN = "1246-7405", MRclass = "11K16 (11J25 11J91)", MRnumber = "2144954 (2006f:11088)", MRreviewer = "John H. Loxton", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://jtnb.cedram.org/item?id=JTNB_2004__16_3_487_0", acknowledgement = ack-nhfb, ajournal = "J. Th\'eor. Nombres Bordeaux", fjournal = "Journal de Th\'eorie des Nombres de Bordeaux", fjournal-2 = "Journal of Number Theory {Bordeaux}", } @TechReport{Bedau:2004:CHF, author = "M. Bedau and R. E. Crandall and M. Raven", title = "Cryptographic hash functions based on {Artificial Life}", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "20", year = "2004", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/hash.bib", URL = "http://people.reed.edu/~crandall/papers/crypto8.pdf", acknowledgement = ack-nhfb, } @Article{Borwein:2004:RAFa, author = "J. Borwein and R. Crandall and G. Fee", title = "On the {Ramanujan} {AGM} fraction. {I}. {The} real-parameter case", journal = j-EXP-MATH, volume = "13", number = "3", pages = "275--285", month = "????", year = "2004", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11J70 (11A55 33C05 40A15)", MRnumber = "2103326 (2005g:11126)", MRreviewer = "James G. Mc Laughlin", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://projecteuclid.org/euclid.em/1103749836", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Borwein:2004:RAFb, author = "J. Borwein and R. Crandall", title = "On the {Ramanujan} {AGM} fraction. {II}. {The} complex-parameter case", journal = j-EXP-MATH, volume = "13", number = "3", pages = "287--295", month = "????", year = "2004", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11J70 (11A55 33C05)", MRnumber = "2103327 (2005h:11149)", MRreviewer = "James G. Mc Laughlin", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://projecteuclid.org/euclid.em/1103749837", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @TechReport{Crandall:2004:BIJ, author = "Richard E. Crandall", title = "On a {Bessel}-integral of {J. Borwein}", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "2", month = aug, year = "2004", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/borweinJ.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:2004:GFA, author = "R. E. Crandall and J. Klivington and D. Kramer", title = "Gigaelement {FFTs} on {Apple G5} clusters", type = "Report", institution = "Advanced Computation Group, Apple Computer", address = "Cupertino, CA, USA", pages = "7", day = "27", month = aug, year = "2004", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://images.apple.com/acg/pdf/FFTdistIntel20070816.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:2004:IPL, author = "R. Crandall and G. Oxman and M. Helman and A. Sullivan", title = "Intuitive physics leads to epidemic models: Focus on smallpox", type = "Report", institution = "Center for Advanced Computation, Reed College", address = "Portland, OR, USA", pages = "29", day = "1", month = jun, year = "2004", bibdate = "Tue Mar 19 10:56:44 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, } @TechReport{Crandall:2005:FEW, author = "Richard E. Crandall", title = "Fast evaluation of the {Witten} zeta function", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "3", month = aug, year = "2005", bibdate = "Tue Mar 19 09:05:22 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/Witten2.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:2005:FEZ, author = "Richard E. Crandall", title = "Fast evaluation of {Zucker} moment-sums", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "3", month = sep, year = "2005", bibdate = "Tue Mar 19 09:04:14 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/Zucker.pdf", acknowledgement = ack-nhfb, } @Misc{Crandall:2005:MAF, author = "Richard E. Crandall", title = "Method and apparatus for fast convolution using separated spline kernel", howpublished = "US Patent 6,912,323.", month = "", year = "2005", bibdate = "Tue Mar 19 09:43:57 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "US Patent Application ?, filed ?.", acknowledgement = ack-nhfb, } @Book{Crandall:2005:PN, author = "Richard Crandall and Carl Pomerance", title = "Prime Numbers: a Computational Perspective", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xvi + 597", year = "2005", ISBN = "0-387-25282-7", ISBN-13 = "978-0-387-25282-7", MRclass = "11A41 (11A51 11Y05 11Y11 11Y35)", MRnumber = "2156291 (2006a:11005)", MRreviewer = "Robert Juricevic", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, } @Article{Bailey:2006:IIC, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Integrals of the {Ising} class", journal = j-J-PHYS-A, volume = "39", number = "40", pages = "12271--12302", month = oct, year = "2006", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/39/40/001", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "33F05 (33F10 65D30 82B20 82B80)", MRnumber = "2261886", MRreviewer = "Syamal K. Sen", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://adsabs.harvard.edu/abs/2006JPhA...39..001B; http://iopscience.iop.org/article/10.1088/0305-4470/39/40/001; http://stacks.iop.org/0305-4470/39/i=40/a=001", abstract = "From an experimental-mathematical perspective we analyse 'Ising-class' integrals. These are structurally related $n$-dimensional integrals we call $ C_n$, $ D_n$, $ E_n$, where $ D_n$ is a magnetic susceptibility integral central to the Ising theory of solid-state physics. We first analyse $ C_n \coloneq \frac {4}{n!} \int_0^\infty \cdots \int_0^\infty \frac { 1 } { \big (\sum_{ j = 1 }^n (u_j + 1 / u_j) \big)^2 } \frac { d u_1 } { u_1 } \cdots \frac { d u_n } { u_n }$. We had conjectured --- on the basis of extreme-precision numerical quadrature --- that $ C_n $ has a finite large-$n$ limit, namely $ C_\infty = 2 e^{-2} $, with $ \gamma $ being the Euler constant. On such a numerological clue we are able to prove the conjecture. We then show that integrals $ D_n $ and $ E_n $ both decay exponentially with $n$, in a certain rigorous sense. While $ C_n $, $ D_n $ remain unresolved for $ n \geq 5 $, we were able to conjecture a closed form for $ E_5 $. Our experimental results involved extreme-precision, multidimensional quadrature on intricate integrands; thus, a highly parallel computation was required.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/1751-8121", onlinedate = "19 September 2006", } @InProceedings{Cahill:2006:STI, author = "E. Cahill and R. Crandall and L. Rude and A. Sullivan", editor = "????", booktitle = "{Proceedings of the 5th Annual Hawaii International Conference on Mathematics, Statistics, and related fields}", title = "Space-time influenza model with demographic, mobility, and vaccine parameters", publisher = "????", address = "????", pages = "??--??", year = "2006", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Tue Mar 19 09:20:45 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://academic.reed.edu/epi/papers/USAfluFINAL.pdf", acknowledgement = ack-nhfb, pagecount = "25", } @TechReport{Crandall:2006:NFP, author = "Richard E. Crandall", title = "Note on fast polylogarithm computation", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "6", month = jan, year = "2006", bibdate = "Tue Mar 19 09:03:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://people.reed.edu/~crandall/papers/Polylog.pdf; https://web.archive.org/web/20120916145721/http://people.reed.edu/~crandall/papers/Polylog.pdf", abstract = "The polylogarithm function $ \Li_n(z) = \sum_{k = 1}^\infty z^k / k^n $, manifestly convergent for $ |z| \eq 1 $, integer $ n > 1 $, is sometimes numerically\slash symbolically relevant for $ |z| > 1 $, i.e., the analytic continuation may be required. By exploiting analytic symmetry relations, we give, for integer $n$, simple and efficient algorithms for complete continuation in complex $z$.", acknowledgement = ack-nhfb, } @Article{Bailey:2007:BI, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Box integrals", journal = j-J-COMPUT-APPL-MATH, volume = "206", number = "1", pages = "196--208", year = "2007", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2006.06.010", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65D30 (11Y60 33E20 60E05)", MRnumber = "2337437 (2008i:65036)", MRreviewer = "Michael J. Evans", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", } @Article{Bailey:2007:HFI, author = "D. H. Bailey and D. Borwein and J. M. Borwein and R. E. Crandall", title = "Hypergeometric Forms for {Ising}-Class Integrals", journal = j-EXP-MATH, volume = "16", number = "3", pages = "257--276", month = "????", year = "2007", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "33E20 (33C05 33F05 33F10 65D30 82B20)", MRnumber = "2367317 (2009c:33053)", MRreviewer = "Wadim Zudilin", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/16/3", URL = "http://projecteuclid.org/euclid.em/1204928528", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Borwein:2007:DCR, author = "D. Borwein and J. Borwein and R. Crandall and R. Mayer", title = "On the dynamics of certain recurrence relations", journal = j-RAMANUJAN-J, volume = "13", number = "1-3", pages = "63--101", year = "2007", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-006-0243-3", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11B37 (11A55 11Y16 37C99 37E99 39A10 65Q05)", MRnumber = "2281157 (2007m:11014)", MRreviewer = "James G. Mc Laughlin", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "Special issue for Richard Askey's 70th birthday.", acknowledgement = ack-nhfb, fjournal = "The Ramanujan Journal. An International Journal Devoted to the Areas of Mathematics Influenced by Ramanujan", journal-URL = "http://link.springer.com/journal/11139", } @TechReport{Borwein:2007:ELAa, author = "David Borwein and Jonathan Borwein and Richard Crandall", title = "Effective {Laguerre} asymptotics", type = "Report", institution = "Department of Computer Science, Dalhousie University", address = "Halifax, NS, Canada B3H 4R2", year = "2007", bibdate = "Thu Aug 11 08:24:07 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://locutus.cs.dal.ca:8088/archive/00000334/; http://web.archive.org/web/20070208032521/http://locutus.cs.dal.ca:8088/archive/00000334/", abstract = "It is known that the generalized Laguerre polynomials can enjoy sub-exponential growth for large primary index. Specifically, for certain fixed parameter pairs $ (a, z) $ one has the large-$n$ asymptotic $$ L_n^{( - a)}( - z) \sim C(a, z) n^{-a / 2 - 1 / 4} e^{2 \sqrt {nz}}. $$ We introduce a computationally motivated contour integral that allows highly efficient numerical evaluation of $ L_n$, yet also leads to general asymptotic series over the full domain for sub-exponential behavior. We eventually lay out a fast algorithm for generation of the rather formidable expansion coefficients. Along the way we address the difficult problem of establishing effective (i.e., rigorous and explicit) error bounds on the general expansion. To this end, we avoid classical stationary-phase and steepest-descent techniques in favor of an ``exp-arc'' method that amounts to a natural bridge between converging series and effective asymptotics. Finally, we exhibit an absolutely convergent exp-arc series for Bessel-function evaluation as an alternative to conventional ascending-asymptotic switching.", acknowledgement = ack-nhfb, } @Article{Chen:2007:OAR, author = "Charlie C. Chen and Jiinpo Wu and Richard E. Crandall", title = "Obstacles to the adoption of radio frequency identification technology in the emergency rooms of hospitals", journal = "International Journal of Electronic Healthcare (IJEH)", volume = "3", number = "2", pages = "193--207", year = "2007", DOI = "https://doi.org/10.1504/IJEH.2007.013100", bibdate = "Tue Mar 19 07:06:56 2013", bibsource = "http://dblp.uni-trier.de/db/journals/ijeh/ijeh3.html#ChenWC07; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", ajournal = "IJEH", fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/1751-8121", xxnote = "Is this a different R E Crandall??", } @TechReport{Crandall:2007:NSK, author = "Richard E. Crandall", title = "Note on sinc-kernel sums and {Poisson} transformation", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "4", month = jun, year = "2007", bibdate = "Tue Mar 19 09:00:45 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/Sinc.pdf", acknowledgement = ack-nhfb, } @TechReport{Crandall:2007:TRW, author = "Richard E. Crandall", title = "Theory of {ROOF} walks", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "40", day = "19", month = aug, year = "2007", bibdate = "Tue Mar 19 09:00:45 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/ROOF.pdf", acknowledgement = ack-nhfb, keywords = "ROOF (Running out of Fuel) walks", } @Article{Borwein:2008:ELA, author = "David Borwein and Jonathan M. Borwein and Richard E. Crandall", title = "Effective {Laguerre} Asymptotics", journal = j-SIAM-J-NUMER-ANAL, volume = "46", number = "6", pages = "3285--3312", month = "????", year = "2008", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/07068031X", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "33C65 (30E20 34E05)", MRnumber = "2448665 (2010a:33037)", MRreviewer = "Yu-Qiu Zhao", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=46&Issue=6; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal2000.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @TechReport{Crandall:2008:TRW, author = "Richard E. Crandall", title = "Theory of {ROOF} walks", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "40", day = "23", month = may, year = "2008", bibdate = "Tue Mar 19 09:00:45 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/ROOF11.pdf", acknowledgement = ack-nhfb, keywords = "ROOF (Running out of Fuel) walks", } @Article{Bailey:2009:RQR, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Resolution of the {Quinn--Rand--Strogatz} constant of nonlinear physics", journal = j-EXP-MATH, volume = "18", number = "1", pages = "107--116", month = "????", year = "2009", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60 (11M35 11Z05)", MRnumber = "2548991 (2010k:11192)", MRreviewer = "Herman J. J. te Riele", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/18/1", URL = "http://projecteuclid.org/euclid.em/1243430534", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Bailey:2010:ATB, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Advances in the theory of box integrals", journal = j-MATH-COMPUT, volume = "79", number = "271", pages = "1839--1866", month = jul, year = "2010", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-10-02338-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (65D30)", MRnumber = "2630017 (2011d:11293)", MRreviewer = "Michael J. Evans", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://www.ams.org/mcom/2010-79-271; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02338-0/; http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02338-0/S0025-5718-10-02338-0.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Borwein:2010:HDB, author = "Jonathan M. Borwein and O-Yeat Chan and R. E. Crandall", title = "Higher-Dimensional Box Integrals", journal = j-EXP-MATH, volume = "19", number = "4", pages = "431--446", month = "????", year = "2010", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2010.10390634", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "33B30", MRnumber = "2778656 (2012c:33012)", MRreviewer = "Cristinel Mortici", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "http://projecteuclid.org/euclid.em; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/19/4", URL = "http://projecteuclid.org/euclid.em/1317758103", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @InCollection{Crandall:2010:TLR, author = "Richard E. Crandall", booktitle = "Gems in experimental mathematics", title = "Theory of log-rational integrals", volume = "517", publisher = "Amer. Math. Soc.", address = "Providence, RI", pages = "127--142", year = "2010", DOI = "https://doi.org/10.1090/conm/517/10137", MRclass = "33B30 (11M06 33E20)", MRnumber = "2731092 (2011m:33005)", MRreviewer = "Matilde N. Lal{\'{\i}}n", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, author-dates = "1947--2012", } @Book{Crandall:2011:SRS, author = "Richard Crandall", title = "Scientific Reflections: Selected Multidisciplinary Works", publisher = "Perfectly Scientific Press", address = "Portland, OR, USA", edition = "Second", pages = "vi + 385", year = "2011", ISBN = "1-935638-08-4", ISBN-13 = "978-1-935638-08-7", LCCN = "Q113 .C72 2011", MRclass = "01A75 (00B60)", MRnumber = "2961410", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, } @Book{Crandall:2012:ARS, author = "Richard E. Crandall", title = "Algorithmic Reflections: Selected Works", publisher = "PSI Press", address = "Portland, OR, USA", edition = "First Perfectly Scientific Press paperback", pages = "410", year = "2012", ISBN = "1-935638-19-X", ISBN-13 = "978-1-935638-19-3", LCCN = "QA958 .C736 2012", bibdate = "Fri Jun 30 11:14:26 MDT 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, author-dates = "1947--2012", subject = "Algorithms; Algorithmes", tableofcontents = "Part I: Number theory \\ On the $ 3 x + 1$ problem \\ On a conjecture of Crandall concerning the $ q n + 1$ problem \\ A search for Wieferich and Wilson primes \\ Parallelization of Pollard-rho factorization \\ Three new factors of Fermat numbers \\ Random generators and normal numbers \\ The googol-th bit of the Erd{\H{o}}s--Borwein constant \\ Part II: Analytical algorithms \\ Fast evaluation of multiple zeta sums \\ On the Khintchine Constant \\ On the dynamics of certain recurrence relations \\ Effective Laguerre asymptotics \\ Theory of ROOF walks \\ Unified algorithms for polylogarithm, $L$-series, and zeta variants \\ Part III: Physics, biology, epidemics, and physiology \\ The potential within a crystal lattice \\ The fractal character of space-time epidemics \\ Mathematical signatures as tools for visual dysfunction \\ NLA system for medical-data classification \\ On the fractal distribution of brain synapses", } @Article{Crandall:2012:GTB, author = "Richard Crandall", title = "The googol-th bit of the {Erd{\H{o}}s--Borwein} constant", journal = j-INTEGERS, volume = "12", number = "5", pages = "811--840", month = oct, year = "2012", CODEN = "INTEHN", DOI = "https://doi.org/10.1515/integers-2012-0007", ISSN = "1867-0652 (print), 1867-0660 (electronic)", ISSN-L = "1867-0652", MRclass = "11Y60 (11J72)", MRnumber = "2988549", bibdate = "Mon Mar 18 11:54:09 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, fjournal = "Integers", journal-URL = "http://www.degruyter.com/view/j/integ", } @Misc{Crandall:2012:UAP, author = "R. E. Crandall", title = "Unified algorithms for polylogarithm, {$L$}-series, and zeta variants", type = "Preprint", pages = "53", year = "2012", bibdate = "Tue Sep 09 11:50:04 2014", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "Published in \cite{Crandall:2012:ARS}.", URL = "http://www.perfscipress.com/papers/universalTOC25.pdf; https://web.archive.org/web/20130430193005/http://www.perfscipress.com/papers/universalTOC25.pdf", abstract = "We describe a general computational scheme for evaluation of a wide class of number-theoretical functions. We avoid asymptotic expansions in favor of manifestly convergent series that lend themselves naturally to rigorous error bounds. By employing three fundamental series algorithms we achieve a unified strategy to compute the various functions via parameter selection. This work amounts to a compendium of methods to establish extreme-precision results as typify modern experimental mathematics. A fortuitous byproduct of this unified approach is automatic analytic continuation over complex parameters. Another byproduct is a host of converging series for various fundamental constants.", acknowledgement = ack-nhfb, remark-1 = "In memory of gentle colleague Jerry Keiper (1953--1995).", remark-2 = "Host in URL field no longer exists; cited in \cite{Coffey:2014:SRR}.", } @Article{Bailey:2013:EFS, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall", title = "Expectations on fractal sets", journal = j-APPL-MATH-COMP, volume = "??", number = "??", pages = "??--??", month = "????", year = "2013", CODEN = "AMHCBQ", DOI = "", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Tue Mar 19 11:50:08 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "To appear.", URL = "http://www.davidhbailey.com/dhbpapers/fracboxes.pdf", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", } @Article{Bailey:2013:LSA, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and John Zucker", title = "Lattice sums arising from the {Poisson} equation", journal = j-J-PHYS-A-MATH-THEOR, volume = "46", number = "11", pages = "115201", month = mar, year = "2013", CODEN = "JPAMB5", DOI = "https://doi.org/10.1088/1751-8113/46/11/115201", ISSN = "1751-8113 (print), 1751-8121 (electronic)", ISSN-L = "1751-8113", MRclass = "35J05 (11Y40 35C05)", MRnumber = "3030150", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://adsabs.harvard.edu/abs/2013JPhA...46k5201B; http://iopscience.iop.org/article/10.1088/1751-8113/46/11/115201; http://stacks.iop.org/1751-8121/46/i=11/a=115201; http://www.davidhbailey.com/dhbpapers/PoissonLattice.pdf", abstract = "In recent times, attention has been directed to the problem of solving the Poisson equation, either in engineering scenarios (computational) or in regard to crystal structure (theoretical). Herein we study a class of lattice sums that amount to Poisson solutions, namely the $n$-dimensional forms $ \begin {eqnarray*} \phi \_ n(r \_ 1, \dots, r \_ n) = \frac \{ 1 \} \{ \ p i {\^ {}}2 \} \sum \_ \{ m \_ 1, \dots, m \_ n \odd \} \frac \{ e{\^ {}} \{ i \ p i (m \_ 1 r \_ 1 + \cdots + m \_ n r \_ n) \} \} \{ m \_ 1 {\^ {}}2 + \cdots + m \_ n{\^ {}}2 \} . \end {eqnarray*} $ By virtue of striking connections with Jacobi $ \thetav $-function values, we are able to develop new closed forms for certain values of the coordinates r$_k$, and extend such analysis to similar lattice sums. A primary result is that for rational $x$, $y$, the natural potential $ \phiv_2 (x, y)$ is $ \frac {1}{\pi } \log A$ where $A$ is an algebraic number. Various extensions and explicit evaluations are given. Such work is made possible by number-theoretical analysis, symbolic computation and experimental mathematics, including extensive numerical computations using up to 20,000-digit arithmetic.", acknowledgement = ack-nhfb, eid = "115201", fjournal = "Journal of Physics A: Mathematical and Theoretical", journal-URL = "http://iopscience.iop.org/1751-8121", pagecount = "31", } @Article{Borwein:2013:CFW, author = "Jonathan M. Borwein and Richard E. Crandall", title = "Closed forms: What they are and why we care", journal = j-NAMS, volume = "60", number = "1", pages = "50--65", month = jan, year = "2013", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Tue Mar 19 11:53:53 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.ams.org/notices/201301/rnoti-p50.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @InCollection{Crandall:2013:FDB, author = "Richard Crandall", title = "On the Fractal Distribution of Brain Synapses", crossref = "Bailey:2013:CAM", pages = "325--348", year = "2013", bibdate = "Mon Sep 05 08:05:13 2016", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", acknowledgement = ack-nhfb, } @Article{Wolfram:2013:RRC, author = "Stephen Wolfram", title = "Remembering {Richard Crandall} (1947--2012)", journal = j-ACM-COMM-COMP-ALGEBRA, volume = "47", number = "1/2", pages = "14--15", month = mar, year = "2013", CODEN = "????", DOI = "https://doi.org/10.1145/2503697.2503700", ISSN = "1932-2232 (print), 1932-2240 (electronic)", ISSN-L = "1932-2232", bibdate = "Wed Jul 17 06:23:04 MDT 2013", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/sigsam.bib", acknowledgement = ack-nhfb, fjournal = "ACM Communications in Computer Algebra", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", }

%%% ==================================================================== %%% Part 2 (of 2) --- publications about Richard E. Crandall and his %%% works %%% %%% Bibliography entries, sorted by year, and then by citation label, %%% with `bibsort -byyear':

@Article{Walker:1983:SVD, author = "J. Walker", title = "Simple and vivid demonstrations of advanced concepts in physics", journal = j-SCI-AMER, volume = "??", number = "??", pages = "??--??", month = jan, year = "1983", CODEN = "SCAMAC", DOI = "", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Tue Mar 19 09:34:10 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "Survey of Richard E. Crandall's experimental work.", URL = "", acknowledgement = ack-nhfb, fjournal = "Scientific American", journal-URL = "http://www.nature.com/scientificamerican", } @Article{Crandall:1986:PC, author = "Jerry P. Gollub and Neal B. Abraham", title = "Physics in the colleges", journal = j-PHYS-TODAY, volume = "39", number = "6", pages = "28--34", month = jun, year = "1986", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.881029", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Tue Mar 19 09:32:23 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.physicstoday.org/resource/1/phtoad/v39/i6/p28_s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", keywords = "Richard E. Crandall", } @Article{Taylor:1992:BRB, author = "Cyrus Taylor", title = "Book Reviews: {{\booktitle{Mathematica for the Sciences}}, by Richard E. Crandall} and {{\booktitle{Mathematica in Action}}, by Stan Wagon}", journal = j-PHYS-TODAY, volume = "45", number = "1", pages = "71--71", month = jan, year = "1992", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.2809498", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Mon Mar 18 12:43:24 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "http://www.physicstoday.org/resource/1/phtoad/v45/i1/p71_s1", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", } @Article{Wenes:1994:BRB, author = "Geert Wenes", title = "Book Review: {{\booktitle{Projects in Scientific Computation}}, by Richard E. Crandall} and {{\booktitle{A Scientist's and Engineer's Guide to Workstations and Supercomputers}}, by Rubin H. Landau and Paul J. Fink, Jr.}", journal = j-COMPUT-PHYS, volume = "8", number = "1", pages = "68--??", month = "????", year = "1994", CODEN = "CPHYE2", DOI = "", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Mon Mar 18 12:35:18 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", } @Article{Franco:1995:CCC, author = "Zachary Franco and Carl Pomerance", title = "On a conjecture of {Crandall} concerning the $ q x + 1 $ problem", journal = j-MATH-COMPUT, volume = "64", number = "211", pages = "1333--1336", month = jul, year = "1995", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11B83 (11B05)", MRnumber = "95j:11019", MRreviewer = "J. C. Lagarias", bibdate = "Sat Jan 11 13:29:06 MST 1997", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Peterson:2000:GCO, author = "Ivars Peterson", title = "Great Computations: Owners of home computers join researchers in cracking problems and crunch-", journal = j-SCIENCE-NEWS, volume = "157", number = "10", pages = "152--155", day = "4", month = mar, year = "2000", CODEN = "SCNEBK", ISSN = "0036-8423 (print), 1943-0930 (electronic)", ISSN-L = "0036-8423", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.sciencenews.org/pages/pdfs/data/2000/157-10/15710-12.pdf", acknowledgement = ack-nhfb, fjournal = "Science News (Washington, DC)", journal-URL = "http://www.jstor.org/journals/00368423.html; http://www.sciencenews.org/view/archives; http://www3.interscience.wiley.com/journal/122396840/home", keywords = "Great Internet Mersenne Prime search; Richard E. Crandall", remark = "The article credits Richard Crandall for the fast primality test used in searching for large Mersenne primes. It also refers to the work in \cite{Crandall:2003:TFF} that proves that the 24th Mersenne number, a 5-million digit number, is not a prime number.", } @Article{Peterson:2001:PMM, author = "Ivars Peterson", title = "Pi {\`a} la Mode: Mathematicians tackled the seeming randomness of pi's digits", journal = j-SCIENCE-NEWS, volume = "160", number = "9", pages = "136--137", day = "1", month = sep, year = "2001", CODEN = "SCNEBK", ISSN = "0036-8423 (print), 1943-0930 (electronic)", ISSN-L = "0036-8423", bibdate = "Sat Mar 03 15:27:13 2012", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://www.jstor.org/stable/4012633", acknowledgement = ack-nhfb, fjournal = "Science News (Washington, DC)", journal-URL = "http://www.jstor.org/journals/00368423.html; http://www.sciencenews.org/view/archives; http://www3.interscience.wiley.com/journal/122396840/home", keywords = "Richard E. Crandall", remark = "See \cite{Bailey:2001:RCF} for the research discussed by Peterson.", } @Article{Preuss:2001:DPR, author = "Paul Preuss", title = "Are the Digits of Pi Random? {A} {Berkeley Lab} Researcher May Hold the Key", journal = "Energy Science News", volume = "??", number = "??", pages = "??--??", month = "????", year = "2001", DOI = "????", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", note = "pnl.gov", URL = "http://web.archive.org/web/20050208141708/http://www.pnl.gov/energyscience/10-01/art3.htm; http://www.pnl.gov/energyscience/10-01/art3.htm", acknowledgement = ack-nhfb, keywords = "David H. Bailey; Richard E. Crandall", xxnote = "URL at pnl.gov cannot be found on 19 March 2013; archive.org has it.", } @Article{Seife:2001:MRD, author = "Charles Seife", title = "Mathematics: Randomly Distributed Slices of $ \pi $", journal = j-SCIENCE, volume = "293", number = "5531", pages = "793--??", day = "3", month = aug, year = "2001", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.293.5531.793", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.sciencemag.org/content/293/5531/793.summary", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", keywords = "Richard E. Crandall", } @Article{Seife:2001:PKE, author = "Charles Seife", title = "Pi Keeps 'Em Guessing", journal = "Science NOW", volume = "??", number = "??", pages = "??--??", day = "27", month = jul, year = "2001", DOI = "", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://news.sciencemag.org/sciencenow/2001/07/27-01.html; http://sciencenow.sciencemag.org/cgi/content/full/2001/727/1", acknowledgement = ack-nhfb, keywords = "BBP formula; David H. Bailey; Jonathan Borwein; Richard E. Crandall", } @Article{Teitelbaum:2002:RBN, author = "J. Teitelbaum", title = "Review of {{\booktitle{Prime numbers: A computational perspective}}, by Crandall, R. and Pomerance, C.}", journal = j-BULL-AMS, volume = "39", number = "3", pages = "449--454", month = apr, year = "2002", CODEN = "BAMOAD", DOI = "", ISSN = "0002-9904 (print), 1936-881X (electronic)", ISSN-L = "0002-9904", bibdate = "Tue Mar 19 09:57:17 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Bulletin of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Wagon:2002:BRM, author = "Stan Wagon", title = "Book Review: Mathematics: Prime Time: {{\booktitle{Prime Numbers: A Computational Perspective}}. Richard Crandall and Carl Pomerance, xvi + 545 pp. Springer-Verlag, 2001. \$49.95}", journal = j-AM-SCI, volume = "90", number = "1", pages = "84", month = jan # "\slash " # feb, year = "2002", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Tue Mar 19 06:13:18 MDT 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "See \cite{Crandall:2001:PNC}.", URL = "http://www.jstor.org/stable/pdfplus/27857605.pdf", acknowledgement = ack-nhfb, fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", } @Article{Gibbs:2003:DSP, author = "W. W. Gibbs", title = "A Digital Slice of Pi. The New Way to do Pure Math: Experimentally", journal = j-SCI-AMER, volume = "288", number = "5", pages = "23--24", month = may, year = "2003", CODEN = "SCAMAC", DOI = "https://doi.org/10.1038/scientificamerican0503-23", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Tue Apr 26 16:23:52 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://crd.lbl.gov/~dhbailey/sciam-2003.pdf; http://www.nature.com/scientificamerican/journal/v288/n5/pdf/scientificamerican0503-23.pdf; http://www.scientificamerican.com/article.cfm?id=a-digital-slice-of-pi", acknowledgement = ack-nhfb, fjournal = "Scientific American", journal-URL = "http://www.nature.com/scientificamerican", keywords = "Richard E. Crandall", } @Article{McCartin:2003:AEP, author = "Brian J. McCartin and Suzanne M. Labadie", title = "Accurate and efficient pricing of vanilla stock options via the {Crandall--Douglas} scheme", journal = j-APPL-MATH-COMP, volume = "143", number = "1", pages = "39--60", day = "20", month = oct, year = "2003", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Fri Jan 9 08:41:07 MST 2004", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2000.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", xxnote = "Is this about R E Crandall's work??", } @Article{Dworkin:2004:MSD, author = "Andy Dworkin", title = "Mathematical Supermodels Define Epidemic Predictions", journal = "The Oregonian", volume = "??", number = "??", pages = "??--??", day = "28", month = apr, year = "2004", DOI = "", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/EpiArticle.pdf", acknowledgement = ack-nhfb, keywords = "Richard E. Crandall", } @Article{Klarreich:2004:MLC, author = "Erica Klarreich", title = "{Math Lab}: Computer experiments are transforming mathematics", journal = j-SCIENCE-NEWS, volume = "165", number = "17", pages = "266--??", day = "24", month = apr, year = "2004", CODEN = "SCNEBK", DOI = "", ISSN = "0036-8423 (print), 1943-0930 (electronic)", ISSN-L = "0036-8423", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.sciencenews.org/articles/20040424/bob9.asp; http://www.sciencenews.org/view/feature/id/4949/description/Math_Lab; http://www.sciencenews.org/view/generic/id/5159/description/Letters_from_the_June_26_2004_issue_of_iScience_News-i", acknowledgement = ack-nhfb, fjournal = "Science News (Washington, DC)", journal-URL = "http://www.jstor.org/journals/00368423.html; http://www.sciencenews.org/view/archives; http://www3.interscience.wiley.com/journal/122396840/home", keywords = "Richard E. Crandall", } @Article{Landhuis:2005:CGC, author = "Esther Landhuis", title = "A case for giving children flu shots: Studies indicate sweeping benefits", journal = "The Mercury News", volume = "??", number = "??", pages = "??--??", day = "20", month = jan, year = "2005", DOI = "", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://www.mercurynews.com/mld/mercurynews/living/health/10688678.htm", acknowledgement = ack-nhfb, keywords = "Richard E. Crandall", } @Article{Moody:2005:RPQ, author = "Robin J. Moody", title = "{Reed} professor, {Qmedtrix} put together idea", journal = "Portland Business Journal", volume = "??", number = "??", pages = "??--??", day = "23", month = dec, year = "2005", DOI = "", bibdate = "Tue Mar 19 09:52:32 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/Qmedtrix-Reed.pdf", acknowledgement = ack-nhfb, keywords = "Richard E. Crandall", } @Misc{Bailey:2012:MPI, author = "David H. Bailey and Jonathan Borwein", title = "Mathematician\slash physicist\slash inventor {Richard Crandall} dies at 64", howpublished = "Web blog.", day = "21", month = dec, year = "2012", bibdate = "Mon Mar 18 12:22:22 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://experimentalmath.info/blog/2012/12/mathematicianphysicistinventor-richard-crandall-dies-at-64/", acknowledgement = ack-nhfb, } @Misc{Wolfram:2012:RRC, author = "Stephen Wolfram", title = "Remembering {Richard Crandall} (1947--2012)", howpublished = "Web blog.", day = "30", month = dec, year = "2012", bibdate = "Mon Mar 18 14:07:23 2013", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://blog.stephenwolfram.com/2012/12/remembering-richard-crandall-1947-2012/", acknowledgement = ack-nhfb, } @Article{Bailey:2014:CTE, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall", title = "Computation and theory of extended {Mordell--Tornheim--Witten} sums", journal = j-MATH-COMPUT, volume = "83", number = "288", pages = "1795--1821", year = "2014", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-2014-02768-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33B15 (11M32 33F05 65D20 65D30)", MRnumber = "3194130", MRreviewer = "Mehdi Hassani", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.ams.org/mcom/2014-83-288; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2014-83-288/S0025-5718-2014-02768-3; http://www.ams.org/journals/mcom/2014-83-288/S0025-5718-2014-02768-3/S0025-5718-2014-02768-3.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Coffey:2014:SRR, author = "Mark W. Coffey", title = "Series representation of the {Riemann} zeta function and other results: {Complements} to a paper of {Crandall}", journal = j-MATH-COMPUT, volume = "83", number = "287", pages = "1383--1395", year = "2014", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Sep 9 11:37:49 MDT 2014", bibsource = "http://www.ams.org/mcom/2014-83-287; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2014-83-287/S0025-5718-2013-02755-X; http://www.ams.org/journals/mcom/2014-83-287/S0025-5718-2013-02755-X/S0025-5718-2013-02755-X.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bailey:2015:CCI, author = "D. H. Bailey and J. M. Borwein", title = "{Crandall}'s computation of the incomplete Gamma function and the {Hurwitz} zeta function, with applications to {Dirichlet} {$L$}-series", journal = j-APPL-MATH-COMP, volume = "268", number = "??", pages = "462--477", day = "1", month = oct, year = "2015", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", bibdate = "Wed Sep 16 06:56:32 MDT 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300315008292", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", } @Misc{Broadhurst:2015:PPH, author = "David Broadhurst", title = "A prime puzzle in honor of {Richard Crandall}", howpublished = "Web site.", day = "5", month = oct, year = "2015", bibdate = "Mon Oct 05 10:03:31 2015", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://experimentalmath.info/blog/2015/10/a-prime-puzzle-in-honor-of-richard-crandall/", acknowledgement = ack-nhfb, } @Book{Wolfram:2016:IMP, author = "Stephen Wolfram", title = "Idea makers: personal perspectives on the lives and ideas of some notable people", publisher = "Wolfram Media, Inc.", address = "Champaign, IL, USA", pages = "250 (est.)", year = "2016", ISBN = "1-57955-003-7 (hardcover), 1-57955-005-3 (e-book), 1-57955-011-8", ISBN-13 = "978-1-57955-003-5 (hardcover), 978-1-57955-005-9 (e-book), 978-1-57955-011-0", LCCN = "Q141 .W678562 2016", bibdate = "Fri Jul 15 16:08:15 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib; https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib; https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; https://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "http://www.wolfram-media.com/products/idea-makers.html", acknowledgement = ack-nhfb, keywords = "Ada Lovelace; Alan Turing; Beno{\^\i}t Mandelbrot; Bertrand Russell; Alfred North Whitehead; George Boole; Gottfried Leibniz; John von Neumann; Kurt G{\"o}del; Marvin Minsky; Richard Crandall; Richard Feynman; Russell Towle; Solomon Golomb; Srinivasa Ramanujan; Steve Jobs", subject = "Biography; History; Science; Scientists", tableofcontents = "Preface \\ Richard Feynman \\ Kurt G{\"o}del \\ Alan Turing \\ John von Neumann \\ George Boole \\ Ada Lovelace \\ Gottfried Leibniz \\ Beno{\^\i}t Mandelbrot \\ Steve Jobs \\ Marvin Minsky \\ Russell Towle \\ Bertrand Russell \& Alfred Whitehead \\ Richard Crandall \\ Srinivasa Ramanujan \\ Solomon Golomb", }

%%% ==================================================================== %%% Cross-referenced entries must come last. They are sorted by year, %%% and then by citation label.

@Book{Bailey:2013:CAM, editor = "David H. Bailey and Heinz H. Bauschke and Peter Borwein and Frank Garvan and Michel Th{\'e}ra and Jon D. Vanderwerff and Henry Wolkowicz", booktitle = "Computational and analytical mathematics: in honor of {Jonathan Borwein}'s 60th Birthday", title = "Computational and analytical mathematics: in honor of {Jonathan Borwein}'s 60th Birthday", volume = "50", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 701", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4", ISBN = "1-4614-7620-8, 1-4614-7621-6 (e-book)", ISBN-13 = "978-1-4614-7620-7, 978-1-4614-7621-4 (e-book)", ISSN = "2194-1009", LCCN = "QA241", bibdate = "Thu Aug 11 13:32:34 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; https://www.math.utah.edu/pub/tex/bib/numana2010.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", series = "Springer proceedings in mathematics and statistics", URL = "http://public.eblib.com/choice/publicfullrecord.aspx?p=1466708; http://swb.eblib.com/patron/FullRecord.aspx?p=1466708; http://www.myilibrary.com?id=547562", abstract = "The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Dr. Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980--1999. He has served the Canadian Mathematics Community through his presidency (2000--2002) as well as his 15 years of editing the CMS book series. Jonathan Borwein's vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein's honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop entitled Computational and Analytical Mathematics, held in May 2011 in celebration of Jonathan Borwein's 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.", acknowledgement = ack-nhfb, subject = "Number theory; Mathematical analysis; Mathematics; Functional Analysis; Operator Theory; Operations Research, Management Science; Algebra; Intermediate.; Mathematical analysis.; Number theory.", tableofcontents = "Normal Numbers and Pseudorandom Generators / David H. Bailey and Jonathan M. Borwein / 1--18 \\ New Demiclosedness Principles for (Firmly) Nonexpansive Operators / Heinz H. Bauschke / 19--28 \\ Champernowne's Number, Strong Normality, and the X Chromosome / Adrian Belshaw and Peter B. Borwein / 29--44 \\ Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems / Henri Bonnel and Jacqueline Morgan / 45--78 \\ Monotone Operators Without Enlargements / Jonathan M. Borwein and Regina S. Burachik / 79--103 \\ A Br{\o}ndsted--Rockafellar Theorem for Diagonal Subdifferential Operators / Radu Ioan Bo{\c{t}} and Ern{\"o} Robert Csetnek / 105--112 \\ A $q$-Analog of Euler's Reduction Formula for the Double Zeta Function / David M. Bradley and Xia Zhou / 113--126 \\ Fast Computation of Bernoulli, Tangent and Secant Numbers / Richard P. Brent and David Harvey / 127--142 \\ Monotone Operator Methods for Nash Equilibria in Non-potential Games / Luis M. Brice{\"a}no-Arias and Patrick L. Combettes / 143--159 \\ Compactness, Optimality, and Risk / B. Cascales, J. Orihuela and M. Ruiz Gal{\'a}n / 161--218 \\ Logarithmic and Complex Constant Term Identities / Tom Chappell, Alain Lascoux and S. Ole Warnaar / 219--250\\ Preprocessing and Regularization for Degenerate Semidefinite Programs / Yuen-Lam Cheung, Simon Schurr and Henry Wolkowicz / 251--303 \\ The Largest Roots of the Mandelbrot Polynomials / Robert M. Corless and Piers W. Lawrence / 305--324 \\ On the Fractal Distribution of Brain Synapses / Richard Crandall / 325--348 \\ Visible Points in Convex Sets and Best Approximation / Frank Deutsch, Hein Hundal and Ludmil Zikatanov / 349--364 \\ On Derivative Criteria for Metric Regularity / Asen L. Dontchev and H{\'e}l{\`e}ne Frankowska / 365--374 \\ Five Classes of Monotone Linear Relations and Operators / Mclean R. Edwards / 375--400 \\ Upper Semicontinuity of Duality and Preduality Mappings / J. R. Giles / 401--410 \\ Convexity and Variational Analysis / A. D. Ioffe / 411--444 \\ Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems / P. S. Kenderov and J. P. Revalski / 445--453 \\ Legendre Functions Whose Gradients Map Convex Sets to Convex Sets / Alexander Knecht and Jon Vanderwerff / 455--462\\ On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces / W. M. Kozlowski and Brailey Sims / 463--484 \\ Techniques and Open Questions in Computational Convex Analysis / Yves Lucet / 485--500 \\ Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators / Victoria Mart{\'i}n-M{\'a}rquez and Simeon Reich / 501--520 \\ Primal Lower Nice Functions and Their Moreau Envelopes / Marc Mazade and Lionel Thibault / 521--553 \\ Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values / Dominikus Noll / 555--592 \\ Convergence of Linesearch and Trust-Region Methods Using the Kurdyka--{\L}ojasiewicz Inequality / Dominikus Noll and Aude Rondepierre / 593--611 \\ Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals / G{\'a}bor Pataki / 613--634 \\ Towards a New Era in Subdifferential Analysis? / Jean-Paul Penot /635--665 \\ Modular Equations and Lattice Sums / Mathew Rogers and Boonrod Yuttanan / 667--680 \\ An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization / Douglas E. Ward and Stephen E. Wright / 681--701", }