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Thu Nov 8 14:50:28 MST 2018
John Milnor Remarks on iterated cubic maps . . . . . 5--24 Henri Cohen and Leonard Lewin and Don Zagier A sixteenth-order polylogarithm ladder 25--34 Barry Mazur The topology of rational points . . . . 35--45 Brian E. Blank and Da Shan Fan and David Klein and Steven G. Krantz and Daowei Ma and Myung-Yull Pang The Kobayashi metric of a complex ellipsoid in \boldmath $ C^2 $ . . . . . 47--55 Steven R. Finch Patterns in $1$-additive sequences . . . 57--63 David A. Drake and Jean A. Larson The nonexistence of certain projective planes of order $ 15 $ . . . . . . . . . 65--69 Richard Schwartz The pentagram map . . . . . . . . . . . 71--81 David Epstein and Silvio Levy and Rafael de la Llave About this Journal . . . . . . . . . . . ??
Carl Pomerance and J. W. Smith Reduction of huge, sparse matrices over finite fields via created catastrophes 89--94 Frank Rimlinger \boldmath $R$-trees and normalization of pseudogroups . . . . . . . . . . . . . . 95--114 John D. Lafferty and Daniel Rockmore Fast Fourier analysis for $ {\rm SL}_2 $ over a finite field and related numerical experiments . . . . . . . . . 115--139 Kenneth A. Brakke The surface evolver . . . . . . . . . . 141--165 Stéfane Fermigier Zéros des fonctions $L$ de courbes elliptiques. (French) [Zeros of $L$ functions on elliptic curves] . . . . . 167--173
Christine Bachoc and Christian Batut Étude algorithmique de réseaux construits avec la forme trace. (French) [Algorithmic study of lattices constructed with the trace from] . . . . 183--190 Lucas Hsu and Rob Kusner and John Sullivan Minimizing the squared mean curvature integral for surfaces in space forms . . 191--207 Avner Ash and Mark McConnell Experimental indications of three-dimensional Galois representations from the cohomology of $ {\rm SL}(3, {\bf Z}) $ . . . . . . . . . . . . . . . 209--223 Farid Tari Recognition of $ \mathcal {K} $-singularities of functions . . . . . . 225--229 David Ford and Michael Pohst The totally real $ A_5 $ extension of degree $6$ with minimum discriminant . . 231--235 Derek F. Holt and Sarah Rees An implementation of the Neumann--Praeger algorithm for the recognition of special linear groups . . 237--242 Anonymous Message from the editors . . . . . . . . ??
Prem Janardhan and David Rosenblum and Robert S. Strichartz Numerical experiments in Fourier asymptotics of Cantor measures and wavelets . . . . . . . . . . . . . . . . 249--273 Dennis A. Hejhal and Barry N. Rackner On the topography of Maass waveforms for $ {\rm PSL}(2, {\bf Z}) $ . . . . . . . 275--305 François Bergeron and Simon Plouffe Computing the generating function of a series given its first few terms . . . . 307--312 Alfred Gray and Mark A. Pinsky Computer graphics and a new Gibbs phenomenon for Fourier--Bessel series 313--316
Denise Kim and Rob Kusner Torus knots extremizing the Möbius energy 1--9 Ibrahim A. I. Suleiman and Robert A. Wilson Construction of the fourfold cover of the Mathieu group $ M_{22} $ . . . . . . 11--14 Ulrich Pinkall and Konrad Polthier Computing discrete minimal surfaces and their conjugates . . . . . . . . . . . . 15--36 John Milnor Geometry and dynamics of quadratic rational maps, with an appendix by the author and Lei Tan . . . . . . . . . . . 37--83
François Dress Fonction sommatoire de la fonction de Möbius. 1. Majorations expérimentales. (French) [Upper bounds on the Möbius function. 1. Experimental maximizations] 89--98 François Dress and Mohamed El Marraki Fonction sommatoire de la fonction de Möbius. 2. Majorations asymptotiques élémentaires. (French) [Upper bounds on the Möbius function. 2. Elementary asymptotic maximizations] . . . . . . . 99--112 David Ford and Vijay Jha On Wendt's determinant and Sophie Germain's theorem . . . . . . . . . . . 113--120 Peter Stevenhagen The number of real quadratic fields having units of negative norm . . . . . 121--136 Franck Leprévost Courbes modulaires et $ 11 $-rang de corps quadratiques . . . . . . . . . . . 137--146
Jean-François Mestre and René Schoof and Lawrence Washington and Don Zagier Quotients homophones des groupes libres 153--155 Michael Callahan and David Hoffman and Hermann Karcher A family of singly periodic minimal surfaces invariant under a screw motion 157--182 Richard Durrett and David Griffeath Asymptotic behavior of excitable cellular automata . . . . . . . . . . . 183--208 Kevin Charter and Thomas Rogers The dynamics of quadrilateral folding 209--222 Abderrahmane Nitaj Algorithms for finding good examples for the $ a b c $ and Szpiro conjectures . . 223--230 David Ford and Michael Pohst The totally real $ A_6 $ extension of degree $6$ with minimum discriminant . . 231--232
David L. Chopp and James A. Sethian Flow under curvature: singularity formation, minimal surfaces, and geodesics . . . . . . . . . . . . . . . 235--255 Nantel Bergeron and Sara Billey RC-graphs and Schubert polynomials . . . 257--269 Michael K. Murray The information metric on rational maps 271--279 Ben Bielefeld and Scott Sutherland and Folkert Tangerman and J. J. P. Veerman Dynamics of certain nonconformal degree-two maps of the plane . . . . . . 281--300 Pierre Goetgheluck Fresnel zones on the screen . . . . . . 301--309
David L. Chopp Computation of self-similar solutions for mean curvature flow . . . . . . . . 1--15 David H. Bailey and Jonathan M. Borwein and Roland Girgensohn Experimental evaluation of Euler sums 17--30 Jane Friedman and James T. Joichi and Dennis Stanton More monotonicity theorems for partitions . . . . . . . . . . . . . . . 31--37 Christian Batut and Jacques Martinet Radiographie des réseaux parfaits. (French) [Radiography of perfect lattices] . . . . . . . . . . . . . . . 39--49 Hans Thunberg Feigenbaum numbers for certain flat-top families . . . . . . . . . . . . . . . . 51--57 Ryo Kobayashi A numerical approach to three-dimensional dendritic solidification . . . . . . . . . . . . . 59--81
Shaun Bullett and Christopher Penrose A gallery of iterated correspondences 85--105 Bernd Krauskopf The bifurcation set for the $ 1 \colon 4 $ resonance problem . . . . . . . . . . 107--128 Jean Cougnard Un anneau d'entiers stablement libre et non libre . . . . . . . . . . . . . . . 129--136 Alexander J. E. Ryba and Robert A. Wilson Matrix generators for the Harada--Norton group . . . . . . . . . . . . . . . . . 137--145 Peter Gilbert and Eric Postpischil There are no new homometric Golomb ruler pairs with $ 12 $ marks or less . . . . 147--152 Greg McShane and John R. Parker and Ian Redfern Drawing limit sets of Kleinian groups using finite state automata . . . . . . 153--170
Michael Rubinstein and Peter Sarnak Chebyshev's bias . . . . . . . . . . . . 173--197 Johannes Buchmann and Max Jüntgen and Michael Pohst A practical version of the generalized Lagrange algorithm . . . . . . . . . . . 199--207 Roel J. Stroeker and Benjamin M. M. de Weger On elliptic Diophantine equations that defy Thue's method: the case of the Ochoa curve . . . . . . . . . . . . . . 209--220 Richard P. McGehee and Bruce B. Peckham Resonance surfaces for forced oscillators . . . . . . . . . . . . . . 221--244 István Gaál and Attila Peth\Ho and Michael Pohst On the resolution of index form equations in dihedral quartic number fields . . . . . . . . . . . . . . . . . 245--254 Robert H. Lewis and Sal Liriano Isomorphism classes and derived series of certain almost-free groups . . . . . 255--258
Craig D. Hodgson and Jeffrey R. Weeks Symmetries, isometries and length spectra of closed hyperbolic three-manifolds . . . . . . . . . . . . 261--274 Richard E. Crandall and Joe P. Buhler On the evaluation of Euler sums . . . . 275--285 David W. Boyd A $p$-adic study of the partial sums of the harmonic series . . . . . . . . . . 287--302 Franco Vivaldi Periodicity and transport from round-off errors . . . . . . . . . . . . . . . . . 303--315 Derek Hacon and Nicolau C. Saldanha and J. J. P. Veerman Remarks on self-affine tilings . . . . . 317--327 Michel Waldschmidt Densité des points rationnels sur un groupe algébrique. (French) [Density of rational points on an algebraic group] 329--352
Alexander Hulpke Block systems of a Galois group . . . . 1--9 Ibrahim A. I. Suleiman and Robert A. Wilson Standard generators for $ J_3 $ . . . . 11--18 Edward C. Thayer Higher-genus Chen--Gackstatter surfaces and the Weierstrass representation for surfaces of infinite genus . . . . . . . 19--39 Iain A. Stewart and Ben Thompson On the intersections of longest cycles in a graph . . . . . . . . . . . . . . . 41--48 Julien Cassaigne and Steven R. Finch A class of $1$-additive sequences and quadratic recurrences . . . . . . . . . 49--60 Fujio Kako and Mitsuyuki Ochiai Computational construction of $W$-graphs of Hecke algebras $ H(q, n) $ for $n$ up to $ 15 $ . . . . . . . . . . . . . . . 61--67 Joseph H. Silverman Exceptional units and numbers of small Mahler measure . . . . . . . . . . . . . 69--83
Enrico Bombieri and David C. Hunt and Alfred J. van der Poorten Determinants in the study of Thue's method and curves with prescribed singularities . . . . . . . . . . . . . 87--96 Derek F. Holt An alternative proof that the Fibonacci group $ F(2, 9) $ is infinite . . . . . 97--100 Robert S. Strichartz and Arthur Taylor and Tong Zhang Densities of self-similar measures on the line . . . . . . . . . . . . . . . . 101--128 Jan Stevens Computing versal deformations . . . . . 129--144 Daniel Bertrand Points rationnels sur les sous-groupes compacts des groupes algébriques . . . . 145--151 John Guckenheimer Phase portraits of planar vector fields: computer proofs . . . . . . . . . . . . 153--165
William C. Jagy and Irving Kaplansky Sums of squares, cubes, and higher powers . . . . . . . . . . . . . . . . . 169--173 Christian Batut and Heinz-Georg Quebbemann and Rudolf Scharlau Computations of cyclotomic lattices . . 177--179 Kenneth Brakke and Robert Phelan and Denis Weaire Computation of equilibrium foam structures using the surface evolver . . 181--192 David Applegate and Jeffrey C. Lagarias The distribution of $ 3 x + 1 $ trees 193--209 Michael J. Jacobson, Jr. and Richard F. Lukes and Hugh C. Williams An investigation of bounds for the regulator of quadratic fields . . . . . 211--225 Fausto Di Biase and Rüdiger Urbanke An algorithm to calculate the kernel of certain polynomial ring homomorphisms 227--234 Stephen A. Linton and Klaus Lux and Leonard H. Soicher The primitive distance-transitive representations of the Fischer groups 235--253 Michel Waldschmidt Errata to: ``Densité des point rationnels sur un groupe algébrique'' . . . . . . . 255--255
Maurice Mignotte and Yves Roy Catalan's equation has no new solution with either exponent less than $ 10651 $ 259--268 Kenneth A. Brakke Numerical solution of soap film dual problems . . . . . . . . . . . . . . . . 269--287 Robert Bruner and John Greenlees The Bredon--Löffler conjecture . . . . . 289--297 Roland Martin A counterexample in the theory of local zeta functions . . . . . . . . . . . . . 299--305 Tomasz Dubejko and Kenneth Stephenson Circle packing: experiments in discrete analytic function theory . . . . . . . . 307--348
Louis Granboulan Construction d'une extension réguli\`ere de $ {\bf Q}(T) $ de groupe de Galois $ M_{24} $. (French) [Construction of a regular extension of $ {\bf Q}(T) $ for the Galois group $ M_{24} $] . . . . . . 3--14 Audrey Terras Survey of spectra of Laplacians on finite symmetric spaces . . . . . . . . 15--32 Carlos Gutierrez and Francesco Mercuri and Federico Sánchez-Bringas On a conjecture of Carathéodory: analyticity versus smoothness . . . . . 33--37 Wilhelm Plesken and Bernd Souvignier Constructing rational representations of finite groups . . . . . . . . . . . . . 39--47 Derek F. Holt and Sarah Rees Free quotients of finitely presented groups . . . . . . . . . . . . . . . . . 49--56 Fritz Grunewald and Wolfgang Huntebrinker A numerical study of eigenvalues of the hyperbolic Laplacian for polyhedra with one cusp . . . . . . . . . . . . . . . . 57--80
Peter Paule A proof of a conjecture of Knuth . . . . 83--89 Graeme L. Cohen and Herman J. J. te Riele Iterating the sum-of-divisors function 91--100 Francis Buekenhout and Michel Dehon and Dimitri Leemans All geometries of the Mathieu group $ M_{11} $ based on maximal subgroups . . 101--110 Matthew J. Appel and Paul S. Bourdon and John J. Thrall Norms of composition operators on the Hardy space . . . . . . . . . . . . . . 111--117 Stéfane Fermigier Étude expérimentale du rang de familles de courbes elliptiques sur $ {\bf Q} $. (French) [Experimental study of the rank of families of elliptic curves on $ {\bf Q} $] . . . . . . . . . . . . . . . . . 119--130 Neil J. Calkin and Steven R. Finch Conditions on periodicity for sum-free sets . . . . . . . . . . . . . . . . . . 131--137 John H. Conway and Ronald H. Hardin and Neil J. A. Sloane Packing lines, planes, etc.: packings in Grassmannian spaces . . . . . . . . . . 139--159
Gabriele Nebe Finite subgroups of $ {\rm GL}_{24}({\bf Q}) $ . . . . . . . . . . . . . . . . . 163--195 Stathis Tompaidis Approximation of invariant surfaces by periodic orbits in high-dimensional maps: some rigorous results . . . . . . 197--209 Stathis Tompaidis Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map . . . . . . . . . . . . . 211--230 Marije Elkenbracht-Huizing An implementation of the number field sieve . . . . . . . . . . . . . . . . . 231--253
Henk Boender and Herman J. J. te Riele Factoring integers with large-prime variations of the quadratic sieve . . . 257--273 Philippe Cassou-Nogu\`as and Arnaud Jehanne Formes primitives et représentations galoisiennes de type octaédral. (French) [Primitive forms and Galois representations of octahedal type] . . . 275--290 Marc Deléglise and Joöl Rivat Computing the summation of the Möbius function . . . . . . . . . . . . . . . . 291--295 David B. A. Epstein and Anthony R. Iano-Fletcher and Uri Zwick Growth functions and automatic groups 297--315 David Ford and Kenneth W. Johnson Determinants of Latin squares of order $8$ . . . . . . . . . . . . . . . . . . 317--325 Clifford A. Reiter Attractors with the symmetry of the $n$-cube . . . . . . . . . . . . . . . . 327--336
David Epstein and Elliott H. Lieb and Jean Taylor and Robert Almgren and Robert Kusner and Frank Morgan and John Sullivan and Albert Marden In memoriam: Frederick J. Almgren Jr., 1933--1997 . . . . . . . . . . . . . . . 1--12 Karsten Große-Brauckmann and Konrad Polthier Compact constant mean curvature surfaces with low genus . . . . . . . . . . . . . 13--32 Karsten Große-Brauckmann Gyroids of constant mean curvature . . . 33--50 Oliver T. Dasbach and Stefan Hougardy Does the Jones polynomial detect unknottedness? . . . . . . . . . . . . . 51--56 Pilar Bayer and Josep González On the Hasse--Witt invariants of modular curves . . . . . . . . . . . . . . . . . 57--76 Mark C. Wilson and Geoffrey Pritchard and David H. Wood Bell's primeness criterion for $ W(2 n + 1) $ . . . . . . . . . . . . . . . . . . 77--85 Frédéric Cazals Combinatorial properties of one-dimensional arrangements . . . . . . 87--94
John E. Cremona Computing periods of cusp forms and modular elliptic curves . . . . . . . . 97--107 Mitja Lakner and Peter Petek The one-equator property . . . . . . . . 109--115 Bernd Krauskopf and Hartje Kriete Hausdorff convergence and the limit shape of the unicorns . . . . . . . . . 117--135 Iain R. Aitchison and J. Hyam Rubinstein Geodesic surfaces in knot complements 137--150 Christine Bachoc and Gabriele Nebe Classification of two genera of $ 32 $-dimensional lattices of rank $8$ over the Hurwitz order . . . . . . . . . . . 151--162 Bert van Geemen and Wilberd van der Kallen and Jaap Top and Alain Verberkmoes Hecke eigenforms in the cohomology of congruence subgroups of $ {\rm SL}(3, {\bf Z}) $ . . . . . . . . . . . . . . . 163--174 Anonymous Editors' note on ``Packing lines, planes, etc.: packings in Grassmannian spaces'' . . . . . . . . . . . . . . . . 175 Graeme L. Cohen and Herman J. J. te Riele Errata to: ``Iterating the sum-of-divisors function'' . . . . . . . 177--177
Jonathan Borwein and David Bradley Empirically determined Apéry-like formulae for $ \zeta (4 n + 3) $ . . . . 181--194 Fernando Q. Gouvêa Non-ordinary primes: a story . . . . . . 195--205 Janko Gravner and David Griffeath Nucleation parameters for discrete threshold growth on $ {\bf Z}^2 $ . . . 207--220 Jérémie Rostand Computing logarithmic capacity with linear programming . . . . . . . . . . . 221--238 Robert H. Lewis and Guy D. Moore Computer search for nilpotent complexes 239--246 Götz Pfeiffer The subgroups of $ M_{24} $, or how to compute the table of marks of a finite group . . . . . . . . . . . . . . . . . 247--270
Hermann-Josef Weber Hyperelliptic simple factors of $ J_0 (N) $ with dimension at least $3$ . . . 273--287 Ellen Gethner and H. M. Stark Periodic Gaussian moats . . . . . . . . 289--292 Gene Cooperman and Gerhard Hiss and Klaus Lux and Jürgen Müller The Brauer tree of the principal $ 19 $-block of the sporadic simple Thompson group . . . . . . . . . . . . . . . . . 293--300 Ivo Nowak Numerical finiteness results for minimal surfaces in three-dimensional space forms . . . . . . . . . . . . . . . . . 301--315 Michael Karowski and Robert Schrader and Elmar Vogt Invariants of three-manifolds, unitary representations of the mapping class group, and numerical calculations . . . 317--352
Alain Kraus Sur l'équation $ a^3 + b^3 = c^p $. (French) [On the equation $ a^3 + b^3 = c^p $ ] . . . . . . . . . . . . . . . . 1--13 Philippe Flajolet and Bruno Salvy Euler sums and contour integral representations . . . . . . . . . . . . 15--35 David W. Boyd Mahler's measure and special values of $L$-functions . . . . . . . . . . . . . 37--82
George Szekeres Abel's equation and regular growth: variations on a theme by Abel . . . . . 85--100 Wayne Rossman and Katsunori Sato Constant mean curvature surfaces with two ends in hyperbolic space . . . . . . 101--119 David Ford and Michael Pohst and Mario Daberkow and Nasser Haddad The $ S_5 $ extensions of degree $6$ with minimum discriminant . . . . . . . 121--124 George Havas and Bohdan S. Majewski and Keith R. Matthews Extended GCD and Hermite normal form algorithms via lattice basis reduction 125--136 Marc Deléglise Bounds for the density of abundant integers . . . . . . . . . . . . . . . . 137--143 Edward G. Belaga and Maurice Mignotte Embedding the $ 3 x + 1 $ conjecture in a $ 3 x + d $ context . . . . . . . . . 145--151 Sergei V. Matveev Computer recognition of three-manifolds 153--161 Emmanuel Halberstadt Sur la courbe modulaire $ X_{\ndep }(11) $ . . . . . . . . . . . . . . . . . . . 163--174
John-Peter Lund and Robert S. Strichartz and Jade P. Vinson Cauchy transforms of self-similar measures . . . . . . . . . . . . . . . . 177--190 Roger C. Alperin Platonic triangles of groups . . . . . . 191--219 David J. Buckingham and Paul B. Callahan Tight bounds on periodic cell configurations in Life . . . . . . . . . 221--241 Benjamin M. M. de Weger Solving elliptic Diophantine equations avoiding Thue equations and elliptic logarithms . . . . . . . . . . . . . . . 243--256 Barry Brent Quadratic minima and modular forms . . . 257--274 Ilan Vardi Prime percolation . . . . . . . . . . . 275--289
Stéphane Louboutin Computation of relative class numbers of imaginary abelian number fields . . . . 293--303 Graham Everest and Thomas Ward A dynamical interpretation of the global canonical height on an elliptic curve 305--316 Oscar E. Lanford III Informal remarks on the orbit structure of discrete approximations to chaotic maps . . . . . . . . . . . . . . . . . . 317--324 Daryl Cooper and Darren D. Long Trimming . . . . . . . . . . . . . . . . 325--332 Christopher F. Woodcock and Nigel P. Smart $p$-adic chaos and random number generation . . . . . . . . . . . . . . . 333--342 Gert Almkvist Asymptotic formulas and generalized Dedekind sums . . . . . . . . . . . . . 343--359 Gerald Allison and Avner Ash and Eric Conrad Galois representations, Hecke operators, and the mod-$p$ cohomology of $ {\rm GL}(3, {\bf Z}) $ with twisted coefficients . . . . . . . . . . . . . . 361--390 Michael Abramson and Curtis D. Bennett Enumerating $ A_3 (2) $ blueprints, and an application . . . . . . . . . . . . . 391--398
Peter Kuchment and Leonid A. Kunyansky Spectral properties of high contrast band-gap materials and operators on graphs . . . . . . . . . . . . . . . . . 1--28 Amadeu Delshams and Rafael Ramírez-Ros Singular separatrix splitting and the Melnikov method: an experimental study 29--48 Alain Joets and Roland Ribotta Caustique de la surface ellipso\"\idale \`a trois dimensions . . . . . . . . . . 49--55 Fernando Rodriguez Villegas and José Felipe Voloch On certain plane curves with many integral points . . . . . . . . . . . . 57--62 Edlyn Teske and Hugh C. Williams A problem concerning a character sum . . 63--72 Richard Rannard Computing immersed normal surfaces in the figure-eight knot complement . . . . 73--84 Robert L. Benedetto and William M. Goldman The topology of the relative character varieties of a quadruply-punctured sphere . . . . . . . . . . . . . . . . . 85--103
Andrew Odlyzko and Michael Rubinstein and Marek Wolf Jumping champions . . . . . . . . . . . 107--118 Andreas Stein and Hugh C. Williams Some methods for evaluating the regulator of a real quadratic function field . . . . . . . . . . . . . . . . . 119--133 Roel J. Stroeker and Nikos Tzanakis On the elliptic logarithm method for elliptic diophantine equations: reflections and an improvement . . . . . 135--149 Eberhard Freitag and Bruce Hunt The dual of the invariant quintic . . . 151--155 Ángel Jorba A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems . . . . . . . . . . 155--195 Gert Almkvist and Andrew Granville Borwein and Bradley's Apéry-like formulae for $ \zeta (4 n + 3) $ . . . . . . . . 197--203 George Havas and Bohdan S. Majewski and Keith R. Matthews Addenda and errata: ``Extended GCD and Hermite normal form algorithms via lattice basis reduction . . . . . . . . 205--205
Scott Crass Solving the sextic by iteration: a study in complex geometry and dynamics . . . . 209--240 Simon Letherman and Dierk Schleicher and Reg Wood The $ 3 n + 1 $-problem and holomorphic dynamics . . . . . . . . . . . . . . . . 241--251 John Erik Fornæss and Estela A. Gavosto Tangencies for real and complex Hénon maps: an analytic method . . . . . . . . 253--260 Alexander I. Bobenko and Wolfgang K. Schief Affine spheres: discretization via duality relations . . . . . . . . . . . 261--280 Meinolf Geck and Gunter Malle On special pieces in the unipotent variety . . . . . . . . . . . . . . . . 281--290 Clara S. Chan and David P. Robbins On the volume of the polytope of doubly stochastic matrices . . . . . . . . . . 291--300 J. W. Neuberger and R. J. Renka Numerical calculation of the essential spectrum of a Laplacian . . . . . . . . 301--308
Steven D. Galbraith Rational points on $ X_0^+(p) $ . . . . 311--318 François Dress and Michel Olivier Polynômes prenant des valeurs premi\`eres. (French) [Polynomials taking principal values] . . . . . . . . 319--338 Ralf Flassenberg and Sachar Paulus Sieving in function fields . . . . . . . 339--349 Nicolas Rennert and Annick Valibouze Calcul de résolvantes avec les modules de Cauchy. (French) [Computing resolvents with Cauchy modules] . . . . . . . . . . 351--366 Richard E. Crandall New representations for the Madelung constant . . . . . . . . . . . . . . . . 367--379 John P. Boyd The Blasius function in the complex plane . . . . . . . . . . . . . . . . . 381--394 Ruth Schwingel The tensor product of polynomials . . . 395--397 Peter Borwein and Kwok-Kwong Stephen Choi On cyclotomic polynomials with $ \pm 1 $ coefficients . . . . . . . . . . . . . . 399--407 Andrew Bremner On arithmetic progressions on elliptic curves . . . . . . . . . . . . . . . . . 409--413
Anonymous To the reader, Experiment. Math., vol. 9, iss. 1 (2000) . . . . . . . . . . . . 1--1 Henri Cohen and Fernando Rodriguez Villegas and Don Zagier Convergence acceleration of alternating series . . . . . . . . . . . . . . . . . 3--12 John E. Cremona and Barry Mazur Visualizing elements in the Shafarevich--Tate group . . . . . . . . 13--28 Mitsuhiro Shishikura and Tan Lei A family of cubic rational maps and matings of cubic polynomials . . . . . . 29--53 Klaus Pinn A chaotic cousin of Conway's recursive sequence . . . . . . . . . . . . . . . . 55--66 Yoshio Hiraoka Numerical calculation of twisted adjoint $L$-values attached to modular forms . . 67--73 Hansjörg Geiges and Diego Rattaggi Periodic automorphisms of surfaces: invariant circles and maximal orders . . 75--84 Harvey E. Rose On some elliptic curves with large sha 85--89 Clara S. Chan and David P. Robbins and David S. Yuen On the volume of a certain polytope . . 91--99 John G. Ratcliffe and Steven T. Tschantz The volume spectrum of hyperbolic $4$-manifolds . . . . . . . . . . . . . 101--125 David Coulson and Oliver A. Goodman and Craig D. Hodgson and Walter D. Neumann Computing arithmetic invariants of $3$-manifolds . . . . . . . . . . . . . 127--152 Jonathan Borwein and Kwok-Kwong Stephen Choi On the representations of $ x y + y z + z x $ . . . . . . . . . . . . . . . . . 153--158
Frank Sottile Real Schubert calculus: polynomial systems and a conjecture of Shapiro and Shapiro . . . . . . . . . . . . . . . . 161--182 Jan Verschelde Numerical evidence for a conjecture in real algebraic geometry . . . . . . . . 183--196 Wayne Rossman and Edward C. Thayer and Meinhard Wohlgemuth Embedded, doubly periodic minimal surfaces . . . . . . . . . . . . . . . . 197--219 Saburo Matsumoto and Richard Rannard The regular projective solution space of the figure-eight knot complement . . . . 221--234 Peter Brinkmann An implementation of the Bestvina--Handel algorithm for surface homeomorphisms . . . . . . . . . . . . . 235--240 Kari J. Nurmela Conjecturally optimal coverings of an equilateral triangle with up to 36 equal circles . . . . . . . . . . . . . . . . 241--250 Xavier-François Roblot Stark's conjectures and Hilbert's twelfth problem . . . . . . . . . . . . 251--260 Feraydoun Taherkhani The Kazhdan property of the mapping class group of closed surfaces and the first cohomology group of its cofinite subgroups . . . . . . . . . . . . . . . 261--274 Anders Björner and Frank H. Lutz Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology $3$-sphere . . . . . . 275--289 Florian Martin and Alain Valette Markov operators on the solvable Baumslag--Solitar groups . . . . . . . . 291--300 Keith M. Briggs and Gonzalo Álvarez Scaling in a map of the two-torus . . . 301--307 Oliver Jenkinson Frequency locking on the boundary of the barycentre set . . . . . . . . . . . . . 309--317
Birkett Huber and Rekha R. Thomas Computing Gröbner fans of toric ideals 321--331 Volker Gebhardt Two short presentations for Lyons' sporadic simple group . . . . . . . . . 333--338 Christophe Doche and Michel Mend\`es France Integral geometry and real zeros of Thue--Morse polynomials . . . . . . . . 339--350 Paul E. Gunnells Computing Hecke eigenvalues below the cohomological dimension . . . . . . . . 351--367 Karl Dilcher Nested squares and evaluations of integer products . . . . . . . . . . . . 369--372 Gábor Ivanyos and Klaus Lux Treating the exceptional cases of the MeatAxe . . . . . . . . . . . . . . . . 373--381 Kazushi Ahara and Mitsuhiko Takasawa Conjugacy classes of the hyperelliptic mapping class group of genus $2$ and $3$ 383--396 Alvy Ray Smith Infinite regular hexagon sequences on a triangle . . . . . . . . . . . . . . . . 397--406 Wilhelm Plesken and Tilman Schulz Counting crystallographic groups in low dimensions . . . . . . . . . . . . . . . 407--411 J. J. P. Veerman and B. D. Sto\vsi\'c On the dimensions of certain incommensurably constructed sets . . . . 413--423 Peter Borwein and Michael J. Mossinghoff Polynomials with height $1$ and prescribed vanishing at $1$ . . . . . . 425--433 F. Miller Maley and Jean Mastrangeli and Lisa Traynor Symplectic packings in cotangent bundles of tori . . . . . . . . . . . . . . . . 435--455 Dragomir \vZ. \Dbarokovi\'c The irreducible six-dimensional complex representations of $ {\rm Aut}(F_2) $ that are nontrivial on $ F_2 $ . . . . . 457--465 Veselin Jungic On monochromatic arithmetic progressions having odd step . . . . . . . . . . . . 467--471 Alexander Stoimenow Rational knots and a theorem of Kanenobu 473--478
John Milnor On rational maps with two critical points . . . . . . . . . . . . . . . . . 481--522 J. W. Neuberger and R. J. Renka Critical points of the Ginzburg--Landau functional on multiply-connected domains 523--533 Andrey Feuerverger and Greg Martin Biases in the Shanks--Rényi prime number race . . . . . . . . . . . . . . . . . . 535--570 Andrew R. Booker A test for identifying Fourier coefficients of automorphic forms and application to Kloosterman sums . . . . 571--581 Karl Rubin and Alice Silverberg Ranks of elliptic curves in families of quadratic twists . . . . . . . . . . . . 583--590 Nicholas F. Rogers Rank computations for the congruent number elliptic curves . . . . . . . . . 591--594 Martin Kilian and Ian McIntosh and Nicholas Schmitt New constant mean curvature surfaces . . 595--611 Bruce Hunt Nice modular varieties . . . . . . . . . 613--622 Gabriele Nebe Invariants of orthogonal G-modules from the character table . . . . . . . . . . 623--629 Michael J. Jacobson and Hugh C. Williams The size of the fundamental solutions of consecutive Pell equations . . . . . . . 631--640
Scott Crass Solving the quintic by iteration in three dimensions . . . . . . . . . . . . 1--24 Jonathan Michael Borwein and David J. Broadhurst and Joel Kamnitzer Central binomial sums, multiple Clausen values, and zeta values . . . . . . . . 25--34 Nicolas Brisebarre Irrationality measures of $ \log 2 $ and $ \pi / \sqrt {3} $ . . . . . . . . . . 35--52 William Aiello and Fan Chung and Linyuan Lu A random graph model for power law graphs . . . . . . . . . . . . . . . . . 53--66 Frédéric Chyzak and Peter Paule and Otmar Scherzer and Armin Schoisswohl and Burkhard Zimmermann The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval . . . . . . . . . . . . . . . . 67--86 Yang Wang On the Number of Daubechies Scaling Functions and a Conjecture of Chyzak et al. . . . . . . . . . . . . . . . . . . 87--89 Sylvain Duquesne Integral Points on Elliptic Curves Defined by Simplest Cubic Fields . . . . 91--102 Uwe F. Mayer A Singular Example for the Averaged Mean Curvature Flow . . . . . . . . . . . . . 103--107 Carlos Cid and Tilman Schulz Computation of Five- and Six-Dimensional Bieberbach Groups . . . . . . . . . . . 109--115 Tilmann Gneiting and Kjell Konis and Donald Richards Experimental Approaches to Kuttner's Problem . . . . . . . . . . . . . . . . 117--124 Andrej Dujella Newton's Formula and the Continued Fraction Expansion of $ \sqrt {d} $ . . 125--131 István Gaál Power Integral Bases in Cubic Relative Expansions . . . . . . . . . . . . . . . 133--139 Alexander I. Bobenko and Tim Hoffmann Conformally Symmetric Circle Packings: a Generalization of Doyle's Spirals . . . 141--150 Jennifer M. Johnson and János Kollár Fano Hypersurfaces in Weighted Projective $4$-Spaces . . . . . . . . . 151--158
John Renze and Stan Wagon and Brian Wick The Gaussian Zoo . . . . . . . . . . . . 161--174 David H. Bailey and Richard E. Crandall On the Random Character of Fundamental Constant Expansions . . . . . . . . . . 175--190 Christophe Delaunay Heuristics on Tate--Shafarevitch Groups of Elliptic Curves Defined over $ \mathbb {Q} $ . . . . . . . . . . . . . 191--196 Frank Lübeck and Max Neunhöffer Enumerating Large Orbits and Direct Condensation . . . . . . . . . . . . . . 197--206 Bruno Martelli and Carlo Petronio Three-Manifolds Having Complexity At Most $9$ . . . . . . . . . . . . . . . . 207--236 Sami Omar On Artin $L$-Functions for Octic Quaternion Fields . . . . . . . . . . . 237--246 Charles A. Matthews Approximation of a Map Between One-Dimensional Teichmüller Spaces . . . 247--266 Samuel S. Wagstaff Prime Numbers with a Fixed Number of One Bits or Zero Bits in Their Binary Representation . . . . . . . . . . . . . 267--274 Markus Maurer and Volker Müller Finding the Eigenvalue in Elkies' Algorithm . . . . . . . . . . . . . . . 275--286 Thomas Kwok-keung Au and Xiao-Song Lin Off-Center Reflections: Caustics and Chaos . . . . . . . . . . . . . . . . . 287--302 Martin Edjvet and Paul Hammond and Nathan Thomas Cyclic Presentations of the Trivial Group . . . . . . . . . . . . . . . . . 303--306 Alfred J. van der Poorten A Powerful Determinant . . . . . . . . . 307--320
Takeshi Sasaki and Masaaki Yoshida A Geometric Study of the Hypergeometric Function with Imaginary Exponents . . . 321--330 John Abbott and Thom Mulders How Tight is Hadamard's Bound? . . . . . 331--336 Jade Vinson Partial Sums of $ \zeta (1 / 2) $ Modulo 1 . . . . . . . . . . . . . . . . . . . 337--344 Allen Knutson Descent-Cycling in Schubert Calculus . . 345--354 Jeffrey C. Lagarias On the Normality of Arithmetical Constants . . . . . . . . . . . . . . . 355--368 Alexander Hulpke Representing Subgroups of Finitely Presented Groups by Quotient Subgroups 369--382 Neil Dummigan Symmetric Square $L$-Functions and Shafarevich--Tate Groups . . . . . . . . 383--400 Arturo Olvera Estimation of the Amplitude of Resonance in the General Standard Map . . . . . . 401--418 Sally M. Miller Geodesic Knots in the Figure-Eight Knot Complement . . . . . . . . . . . . . . . 419--436 Jun Kigami and Robert S. Strichartz and Katharine C. Walker Constructing a Laplacian on the Diamond Fractal . . . . . . . . . . . . . . . . 437--448 Bjorn Poonen Computing Torsion Points on Curves . . . 449--466 Noam D. Elkies Mordell--Weil Lattices in Charactistic $2$, III: a Mordell--Weil Lattice of Rank $128$ . . . . . . . . . . . . . . . 467--474 Leopoldo Kulesz and Colin Stahlke Elliptic Curves of High Rank with Nontrivial Torsion Group over $ {\rm Q} $ . . . . . . . . . . . . . . . . . . . 475--480 Anonymous Miscellaneous Back Pages, Experiment. Math., volume 10, number 3 (2001) . . . ?? Anonymous Miscellaneous Front Pages, Experiment. Math., volume 10, number 3 (2001) . . . ??
Xavier Buff and Christian Henriksen and John H. Hubbard Farey Curves . . . . . . . . . . . . . . 481--486 Christopher G. Pinner and Dan Wolczuk On the Inhomogeneous Hall's Ray of Period-One Quadratics . . . . . . . . . 487--496 Claude Hayat-Legrand and Sergei Matveev and Heiner Zeischang Computer Calculation of the Degree of Maps into the Poincaré Homology Sphere 497--508 Bo Bernhardsson and Jaak Peetre Singular Values of Trilinear Forms . . . 509--518 Richard Evan Schwartz The Pentagram Map is Recurrent . . . . . 519--528 S. C. Coutinho and Bruno F. M. Ribeiro On Holomorphic Foliations Without Algebraic Solutions . . . . . . . . . . 529--536 Gregor Kemper and Elmar Körding and Gunter Malle and B. Heinrich Matzat and Denis Vogel and Gabor Wiese A Database of Invariant Rings . . . . . 537--542 Ricardo Baeza and Renaud Coulangeon and Maria Ines Icaza and Manuel O'Ryan Hermite's Constant for Quadratic Number Fields . . . . . . . . . . . . . . . . . 543--552 Neal Koblitz Almost Primality of Group Orders of Elliptic Curves Defined over Small Finite Fields . . . . . . . . . . . . . 553--558 Karl Rubin and Alice Silverberg Rank Frequencies for Quadratic Twists of Elliptic Curves . . . . . . . . . . . . 559--570 Peter Brinkmann and Saul Schleimer Computing Triangulations of Mapping Tori of Surface Homeomorphisms . . . . . . . 571--582 Eric Breimer and Mark Goldberg and Brian Kolstad and Malik Magdon-Ismail On the Height of a Random Set of Points in a $d$-Dimensional Unit Cube . . . . . 583--598 Jürgen Opgenorth Dual Cones and the Voronoi Algorithm . . 599--608 Gisli Másson and Boris Shapiro On Polynomial Eigenfunctions of a Hypergeometric-Type Operator . . . . . . 609--618 Nina N. Huang and Robert S. Strichartz Sampling Theory for Functions with Fractal Spectrum . . . . . . . . . . . . 619--640 Anonymous Miscellaneous Back Pages, Experiment. Math., volume 10, number 4 (2001) . . . ?? Anonymous Miscellaneous Front Pages, Experiment. Math., volume 10, number 4 (2001) . . . ??
Robert Sinclair and Minoru Tanaka Loki: Software for Computing Cut Loci 1--25 Robert Sinclair and Minoru Tanaka The Set Poles of a Two-Sheeted Hyperboloid . . . . . . . . . . . . . . 27--36 Henri Darmon and Peter Green Elliptic Curves and Class Fields of Real Quadratic Fields: Algorithms and Evidence . . . . . . . . . . . . . . . . 37--55 Ulf Jürgens and Gerhard Röhrle MOP --- Algorithmic Modality Analysis for Parabolic Group Actions . . . . . . 57--67 Jaydeep V. Chipalkatti Decomposable Ternary Cubics . . . . . . 69--80 Carles Bivi\`a-Ausina A Method to Estimate the Degree of $ \mathbf {C}^{\mathbf {0}} $-Sufficiency of Analytic Functions . . . . . . . . . 81--85 István Gaál and Péter Olajos and Michael Pohst Power Integral Bases in Orders of Composite Fields . . . . . . . . . . . . 87--90 William Floyd and Brian Weber and Jeffrey Weeks The Achilles' Heel of $ {\rm O}(3, 1) $? 91--97 Tanya Chmutova and Viktor Ostrik Calculating Canonical Distinguished Involutions in the Affine Weyl Groups 99--117 D. M. Hardcastle and K. Khanin The $d$-Dimensional Gauss Transformation: Strong Convergence and Lyapunov Exponents . . . . . . . . . . . 119--129 D. M. Hardcastle The Three-Dimensional Gauss Algorithm is Strongly Convergent Almost Everywhere 131--141 Murray Elder and Jon McCammond Curvature Testing in $3$-Dimensional Metric Polyhedral Complexes . . . . . . 143--160
Willem A. de Graaf Constructing canonical bases of quantized enveloping algebras . . . . . 161--170 Jürgen Klüners Algorithms for function fields . . . . . 171--181 Karel Dekimpe and Bettina Eick Computational aspects of group extensions and their applications in topology . . . . . . . . . . . . . . . . 183--200 Manuel Benito and Wolfgang Creyaufmüller and Juan L. Varona and Paul Zimmermann Aliquot sequence $ 3630 $ ends after reaching $ 100 $ digits . . . . . . . . 201--206 David Hoffman and Fusheng Wei Deforming the singly periodic genus-one helicoid . . . . . . . . . . . . . . . . 207--218 Nikola P. Petrov and Rafael de la Llave Regularity of conjugacies between critical circle maps: an experimental study . . . . . . . . . . . . . . . . . 219--241 Zheng-Xu He On the minimizers of the Möbius cross energy of links . . . . . . . . . . . . 244--248 Ursula Hamenstädt and Roman Koch Systoles of a family of triangle surfaces . . . . . . . . . . . . . . . . 249--270 Toby Hall and André de Carvalho The forcing relation for horseshoe braid types . . . . . . . . . . . . . . . . . 271--288 Simon Willerton On the first two Vassiliev invariants 289--296 R. Garunk\vstis On some inequalities concerning $ \pi (x) $ . . . . . . . . . . . . . . . . . 297--301 Joan-C. Lario and René Schoof Some computations with Hecke rings and deformation ring, with an appendix by Amod Agashe and William Stein . . . . . 303--311 Katsunori Iwasaki and Atsufumi Kenma and Keiji Matsumoto Polynomial invariants and harmonic functions related to exceptional regular polytopes . . . . . . . . . . . . . . . 313--319
Enric Hart and Daniel Maisner Abelian Surfaces over Finite Fields as Jacobians . . . . . . . . . . . . . . . 321--337 C. R. Jordan and D. A. Jordan and J. H. Jordan Reversible Complex Hénon Maps . . . . . . 339--347 Bernard Landreau and Florent Richard Le crit\`ere de Beurling et Nyman pour l'hypoth\`ese de Riemann: aspects numériques. (French) [The Beurling and Nyman criteria for the Riemann Hypothesis: numerical aspects] . . . . . 349--360 Cristian S. Calude and Michael J. Dinneen and Chi-Kou Shu Computing a Glimpse of Randomness . . . 361--370 Fokko du Cloux Computing Kazhdan--Lusztig Polynomials for Arbitrary Coxeter Groups . . . . . . 371--381 Alain Costé Sur un syst\`eme fibré lié \`a la suite des nombres premiers. (French) [On a fiber system related to the prime-number sequence] . . . . . . . . . . . . . . . 383--405 Kaoru Okada Hecke Eigenvalues for Real Quadratic Fields . . . . . . . . . . . . . . . . . 407--426 Hitoshi Murakami and Jun Murakami and Miyuki Okamoto and Toshie Takata and Yoshiyuki Yokota Kashaev's Conjecture and the Chern--Simons Invariants of Knots and Links . . . . . . . . . . . . . . . . . 427--435 J. C. Lagarias and E. M. Rains and N. J. A. Sloane The EKG Sequence . . . . . . . . . . . . 437--446
G. Almkvist Partitions with Parts in a Finite Set and with Parts Outside a Finite Set . . 449--456 Neil Dummigan Symmetric Squares of Elliptic Curves: Rational Points and Selmer Groups . . . 457--464 Christoph Baxa Some Remarks on the Distribution of a Sequence Connected with $ \zeta (\frac {1}{2}) $ . . . . . . . . . . . . . . . 465--468 Takashi Fukuda and Keiichi Komatsu Noncyclotomic $ {\rm Z}_p $-Extensions of Imaginary Quadratic Fields . . . . . 469--475 Mário M. Graça On the Computation of Nonhyperbolic Fixed Points . . . . . . . . . . . . . . 477--485 Mark Watkins Computing the Modular Degree of an Elliptic Curve . . . . . . . . . . . . . 487--502 Luis V. Dieulefait Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with $ {\rm End}(A) = \mathbb {Z} $ . . . . . . . . . . . . . 503--512 Thorsten Theobald Computing Amoebas . . . . . . . . . . . 513--526 David H. Bailey and Richard E. Crandall Random Generators and Normal Numbers . . 527--546 Chris Lomont Yet More Projective Curves over $ \mathbb {F}_2 $ . . . . . . . . . . . . 547--554 W. Duke and Á. Tóth The Splitting of Primes in Division Fields of Elliptic Curves . . . . . . . 555--565 J. E. Humphreys Analogues of Weyl's Formula for Reduced Enveloping Algebras . . . . . . . . . . 567--573
María Isabel González Vasco and Martin Rötteler and Rainer Steinwandt On Minimal Length Factorizations of Finite Groups . . . . . . . . . . . . . 1--2 Ka-Sing Lau and Sze-Man Ngai Dimensions of the Boundaries of Self-Similar Sets . . . . . . . . . . . 13--26 Emmanuel Halberstadt and Alain Kraus Sur la courbe modulaire $ {X}_E(7) $ . . 27--40 Michel L. Lapidus and Machiel van Frankenhuysen Complex Dimensions of Self-Similar Fractal Strings and Diophantine Approximation . . . . . . . . . . . . . 41--69 Reinhard Waldmüller A Flat Manifold with No Symmetries . . . 71--77 Miguel Carrión Álvarez and Joseph Corneli and Genevieve Walsh and Shabnam Beheshti Double Bubbles in the Three-Torus . . . 79--89 Klaus M. Lux and Magdolna Sz\Hoke Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras 91--98 Hugh Williams and Herman te Riele New Computations Concerning the Cohen--Lenstra Heuristics . . . . . . . 99--113 Harald Baier and Günter Köhler How to Compute the Coefficients of the Elliptic Modular Function $ j(z) $ . . . 115--126 Petra E. Holmes and Stephen A. Linton and Scott H. Murray Product Replacement in the Monster . . . 123--126
Marlies Gerber and Boris Hasselblatt and Daniel Keesing The Riccati Equation: Pinching of Forcing and Solutions . . . . . . . . . 129--134 S. J. Patterson The Asymptotic Distribution of Exponential Sums, I . . . . . . . . . . 135--153 Bernadette Perrin-Riou Arithmétique des courbes elliptiques \`a réduction supersinguli\`ere en $p$. (French) [Arithmetic on elliptic curves with a supersingular reduction in $p$ ] 155--186 Joseph L. Gerver Noncollision Singularities: Do Four Bodies Suffice? . . . . . . . . . . . . 187--198 Ali Katanforoush and Mehrdad Shahshahani Distributing Points on the Sphere, I . . 199--209 Y. Lee and R. Scheidler and C. Yarrish Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field . . . . . . . . . . . . . . . . . 211--225 Mark Asch and Gilles Lebeau The Spectrum of the Damped Wave Operator for a Bounded Domain in $ \mathbf {R}^2 $ . . . . . . . . . . . . . . . . . . . 227--241 C. J. Cummins and S. Pauli Congruence Subgroups of $ {\rm PSL}(2, {\rm Z}) $ of Genus Less than or Equal to $ 24 $ . . . . . . . . . . . . . . . 243--255
Nandini Nilakantan Nonexistence of a Weakly Neighbourly Polyhedral Map of Type $ 6, 6 $ . . . . 257--262 Matthias Beck and David Einstein and Shelemyahu Zacks Some Experimental Results on the Frobenius Problem . . . . . . . . . . . 263--270 Thomas Lewiner and Hélio Lopes and Geovan Tavares Toward Optimality in Discrete Morse Theory . . . . . . . . . . . . . . . . . 271--286 Eric J. Rawdon Can Computers Discover Ideal Knots? . . 287--302 István Gaál and István Járási and Florian Luca A Remark on Prim Divisors of Lengths of Sides of Heron Triangles . . . . . . . . 303--310 C. Delaunay and S. Duquesne Numerical Investigations Related to the Derivatives of the $L$-Series of Certain Elliptic Curves . . . . . . . . . . . . 311--318 Kazuhiro Hikami Volume Conjecture and Asymptotic Expansion of $q$-Series . . . . . . . . 319--338 David Chopp and John A. Velling Foliations of Hyperbolic Space by Constant Mean Curvature Surfaces Sharing Ideal Boundary . . . . . . . . . . . . . 339--350 Irene Sabadini and Frank Sommen and Daniele C. Struppa The Dirac Complex on Abstract Vector Variables: Megaforms . . . . . . . . . . 351--364 Mikhail Khovanov Patters in Knot Cohomology, I . . . . . 365--374 Frank Wikström Computing the Pluricomplex Green Function with Two Poles . . . . . . . . 375--384 Anonymous Table of Contents, Exp. Math., vol. 12, no. 3 (2003) . . . . . . . . . . . . . . ??
Kay Magaard and Sergey Shpectorov and Helmut Völklein A GAP Package for Braid Orbit Computation and Applications . . . . . . 385--394 Pierrick Gaudry and Nicolas Gürel Counting Points in Medium Characteristic Using Kedlaya's Algorithm . . . . . . . 395--402 Richard Oberlin and Brian Street and Robert S. Strichartz Sampling on the Sierpinski Gasket . . . 403--418 Arnaud Jehanne and Xavier-Francois Roblot and Jonathan Sands Numerical Verification of the Stark--Chinburg Conjuncture for Some Icosahedral Representations . . . . . . 419--432 Michel Deza and Mathieu Dutour The Hypermetric Cone on Seven Vertices 433--440 Gert Almkvist and Christian Krattenthaler and Joakim Petersson Some New Formulas for $ \pi $ . . . . . 441--456 G. Rhin and J.-M. Sac-Épée New Methods Providing High Degree Polynomials with Small Mahler Measure 457--462 Ernesto Girondo Multiply Quasiplatonic Riemann Surfaces 463--476 R. Sinclair On the Last Geometric Statement of Jacobi . . . . . . . . . . . . . . . . . 477--486 George Havas and Edmund F. Robertson Irreducible Cyclic Presentations of the Trivial Group . . . . . . . . . . . . . 487--490 Timoteo Carletti The $ 1 / 2 $-Complex Bruno Function and the Yoccoz Function: a Numerical Study of the Marmi--Moussa--Yoccoz Conjecture 491--506 Jesús Guillera About a New Kind of Ramanujan-Type Series . . . . . . . . . . . . . . . . . 507--510 Anonymous Table of Contents, Exp. Math., vol. 12, no. 4 (2003) . . . . . . . . . . . . . . ??
Julian Pfeifle and Günter M. Ziegler On the Monotone Upper Bound Problem . . 1--12 J. M. Landsberg and Laurent Manivel and Bruce W. Westbury Series of Nilpotent Orbits . . . . . . . 13--30 Jean-Claude Hausmann and Eugenio Rodriguez The Space of Clouds in Euclidean Space 31--48 Peter Brinkmann A Note on Pseudo-Anosov Maps with Small Growth Rate . . . . . . . . . . . . . . 49--54 John Milnor Pasting Together Julia Sets: a Worked Out Example of Mating . . . . . . . . . 55--92 Jaydeep Chipalkatti The Waring Loci of Ternary Quartics . . 93--102 Yuan Xu On Polynomials of Least Deviation from Zero in Several Variables . . . . . . . 103--113 J. C. Lagarias and N. J. A. Sloane Approximate Squaring . . . . . . . . . . 113--128 Anonymous Editorial Staff, Exp. Math., vol. 13, no. 1 (2004) . . . . . . . . . . . . . . ?? Anonymous Table of Contents, Exp. Math., vol. 13, no. 1 (2004) . . . . . . . . . . . . . . ??
Gunter Malle On the Distribution of Galois Groups, II 129--136 Tim Dokchitser Computing Special Values of Motivic $L$-Functions . . . . . . . . . . . . . 137--150 Colva M. Roney-Dougal Conjugacy of Subgroups of the General Linear Group . . . . . . . . . . . . . . 151--164 Luis V. Dieulefait Computing the Level of a Modular Rigid Calabi--Yau Threefold . . . . . . . . . 165--170 Roberto Frigerio and Bruno Martelli and Carlo Petronio Small Hyperbolic $3$-Manifolds with Geodesic Boundary . . . . . . . . . . . 171--184 Chantal David and Jack Fearnley and Hershy Kisilevsky On the Vanishing of Twisted $L$-Functions of Elliptic Curves . . . . 185--198 Anders Linnér Periodic Geodesics Generator . . . . . . 199--206 Persi Diaconis and J. W. Neuberger Numerical Results for the Metropolis Algorithm . . . . . . . . . . . . . . . 207--214 Shalom Eliahou and Delphine Hachez On a Problem of Steinhaus Concerning Binary Sequences . . . . . . . . . . . . 215--230 Murray Bremner and Irvin Hentzel Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras 231--256 Anonymous Editorial Staff, Exp. Math., vol. 13, no. 2 (2004) . . . . . . . . . . . . . . ?? Anonymous Table of Contents, Exp. Math., vol. 13, no. 2 (2004) . . . . . . . . . . . . . . ??
David Bessis and Jean Michel Explicit Presentations for Exceptional Braid Groups . . . . . . . . . . . . . . 257--266 Benjamin A. Burton Introducing Regina, The $3$-Manifold Topology Software . . . . . . . . . . . 267--272 Meinhard Peters The Diophantine Equation $ x y + y z + x z = n $ and Indecomposable Binary Quadratic Forms . . . . . . . . . . . . 273--274 J. Borwein and R. Crandall and G. Fee On the Ramanujan AGM Fraction, I: The Real-Parameter Case . . . . . . . . . . 275--285 J. Borwein and R. Crandall On the Ramanujan AGM Fraction, II: The Complex-Parameter Case . . . . . . . . . 287--295 Avner Ash and David Pollack and Dayna Soares $ {\rm SL}_3 ({\rm F}_2) $-Extensions of $ {\rm Q} $ and Arithmetic Cohomology Modulo 2 . . . . . . . . . . . . . . . . 297--307 Jin-ichi Itoh and Robert Sinclair Thaw: a Tool for Approximating Cut Loci on a Triangulation of a Surface . . . . 309--325 Luis Dieulefait Existence of Nonelliptic $ \bmod \ell $ Galois Representations for Every $ \ell > 5 $ . . . . . . . . . . . . . . . . . . 327--329 Carlos D'Andrea and Kevin G. Hare On the Height of the Sylvester Resultant 331--341 Kok Seng Chua and Mong Lung Lang Congruence Subgroups Associated to the Monster . . . . . . . . . . . . . . . . 343--360 C. J. Cummins Congruence Subgroups of Groups Commensurable with $ {\rm PSL}(2, {\rm Z}) $ of Genus $0$ and $1$ . . . . . . . 361--382 Anonymous Table of Contents, Exp. Math., vol. 13, no. 3 (2004) . . . . . . . . . . . . . . ??
Alexander Schwartz and Günter M. Ziegler Construction Techniques for Cubical Complexes, Odd Cubical $4$-Polytopes, and Prescribed Dual Manifolds . . . . . 385--413 Xin-Han Dong and Ka-Sing Lau An Integral Related To The Cauchy Transform On The Sierpinski Gasket . . . 415--419 Masanari Kida Primality Tests Using Algebraic Groups 421--427 Dimitri Leemans The Residually Weakly Primitive Geometries of $ {J}_3 $ . . . . . . . . 429--433 P. E. Holmes On Minimal Factorisations of Sporadic Groups . . . . . . . . . . . . . . . . . 435--440 F. J. Castro-Jiménez and J. M. Ucha-Enríquez Testing the Logarithmic Comparison Theorem for Free Divisors . . . . . . . 441--449 Francesca Aicardi On the Number of Perfect Binary Quadratic Forms . . . . . . . . . . . . 451--457 Gabriela Schmithüsen An Algorithm for Finding the Veech Group of an Origami . . . . . . . . . . . . . 459--472 Tadej Kotnik and Jan van de Lune On the Order of the Mertens Function . . 473--481 Gilles Schaeffer and Paul Zinn-Justin On the Asymptotic Number of Plane Curves and Alternating Knots . . . . . . . . . 483--493 Gilbert Baumslag and Sean Cleary and George Havas Experimenting with Infinite Groups, I 495--502 T. Rivoal Simultaneous Generation of Koecher and Almkvist-Granville's Apéry-Like Formulae 503--508 Anonymous Table of Contents, Exp. Math., vol. 13, no. 4 (2004) . . . . . . . . . . . . . . ??
P. Shiu A Diophantine Property Associated with Prime Twins . . . . . . . . . . . . . . 1--6 R. M. Haralick and A. D. Miasnikov and A. G. Myasnikov Heuristics for the Whitehead Minimization Problem . . . . . . . . . . 7--14 W. A. de Graaf Classification of Solvable Lie Algebras 15--25 Hidenori Katsurada Special Values of the Standard Zeta Functions for Elliptic Modular Forms . . 27--45 G. Muraz and J.-L. Verger-Gaugry On Lower Bounds of the Density of Delone Sets and Holes in Sequences of Sphere Packings . . . . . . . . . . . . . . . . 47--57 Charles P. Boyer and Krzysztof Galicki and János Kollár and Evan Thomas Einstein Metrics on Exotic Spheres in Dimensions $7$, $ 11 $, and $ 15 $ . . . 59--64 Francisco Diaz Y. Diaz and Jean-François Jaulent and Sebastian Pauli and Michael Pohst and Florence Soriano-Gafiuk A New Algorithm for the Computation of Logarithmic $ \ell $-Class Groups of Number Fields . . . . . . . . . . . . . 65--74 Pieter Collins Forcing Relations for Homoclinic Orbits of the Smale Horseshoe Map . . . . . . . 75--86 S. J. Patterson The Asymptotic Distribution of Exponential Sums, II . . . . . . . . . . 87--98 \`Angel Jorba and Maorong Zou A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods . . . . . . . 99--117 Darrin Doud Wildly Ramified Galois Representations and a Generalization of a Conjecture of Serre . . . . . . . . . . . . . . . . . 119--127 Anonymous Table of Contents, Exp. Math., vol. 14, no. 1 (2005) . . . . . . . . . . . . . . ??
Péter Olajos Power integral bases in the family of simplest quartic fields . . . . . . . . 129--132 Charles Cochet Effective reduction of Goresky--Kottwitz--MacPherson graphs . . 133--144 Anders Linnér and Robert Renka Discrete Periodic Geodesics in a Surface 145--152 Csaba Schneider A computer-based approach to the classification of nilpotent Lie algebras 153--160 Susan Hermiller and Irena Swanson Computations with Frobenius powers . . . 161--173 W. Plesken and D. Robertz Constructing Invariants for Finite Groups . . . . . . . . . . . . . . . . . 175--188 Daniel Schielzeth and Michael E. Pohst On Real Quadratic Number Fields Suitable for Cryptography . . . . . . . . . . . . 189--197 Shawn Drenning and Judith Palagallo and Thomas Price and Robert S. Strichartz Outer Boundaries of Self-Similar Tiles 199--209 James McKee and Chris Smyth Salem numbers, Pisot numbers, Mahler measure, and graphs . . . . . . . . . . 211--229 J. O. Button Fibred and virtually fibred hyperbolic $3$-manifolds in the censuses . . . . . 231--255 Anonymous Table of Contents, Exp. Math., vol. 14, no. 2 (2005) . . . . . . . . . . . . . . ??
Wolfgang Lempken and Tran van Trung On Minimal Logarithmic Signatures of Finite Groups . . . . . . . . . . . . . 257--269 William Geller and Micha\l Misiurewicz Irrational Life . . . . . . . . . . . . 271--275 Jurgen Müller and Max Neunhöffer Some computations regarding Foulkes' conjecture . . . . . . . . . . . . . . . 277--283 J. Hyam Rubinstein and Robert Sinclair Visualizing Ricci flow of manifolds of revolution . . . . . . . . . . . . . . . 285--298 Sylvie Oliffson Kamphorst and Sônia Pinto-de-Carvalho The first Birkhoff coefficient and the stability of $2$-periodic orbits on billiards . . . . . . . . . . . . . . . 299--306 Hiroki Sumida-Takahashi The Iwasawa invariants and the higher $K$-groups associated to real quadratic fields . . . . . . . . . . . . . . . . . 307--316 David H. Bailey and Karthik Jeyabalan and Xiaoye S. Li A comparison of three high-precision quadrature schemes . . . . . . . . . . . 317--329 Wayne Rossman The first bifurcation point for Delaunay nodoids . . . . . . . . . . . . . . . . 331--342 Kok Seng Chua Extremal modular lattices, McKay Thompson series, quadratic iterations, and new series for $ \pi $ . . . . . . . 343--357 S. J. Nickerson and R. A. Wilson Semi-Presentations for the Sporadic Simple Groups . . . . . . . . . . . . . 359--371 Harm Pralle The hyperplanes of $ {DW(5, 2)} $ . . . 373--384 Anonymous Table of Contents, Exp. Math., vol. 14, no. 3 (2005) . . . . . . . . . . . . . . ??
Teruaki Kitano and Masaaki Suzuki A Partial Order in the Knot Table . . . 385--390 J. Brzezi\'nski and W. Holszty\'nski and P. Kurlberg On the Congruence \boldmath $ a x + b y \equiv 1 $ Modulo \boldmath $ x y $ . . 391--401 David W. Boyd and Michael J. Mossinghoff Small Limit Points of Mahler's Measure 403--414 H.-C. Graf von Bothmer and F.-O. Schreyer A Quick and Dirty Irreducibility Test for Multivariate Polynomials over $ \mathbb {F}_q $ . . . . . . . . . . . . 415--422 Ryan Harkins and Eric Weber and Andrew Westmeyer Encryption Schemes using Finite Frames and Hadamard Arrays . . . . . . . . . . 423--433 Henry King and Kevin Knudson and Ne\vza Mramor Generating Discrete Morse Functions from Point Data . . . . . . . . . . . . . . . 435--444 Jan Snellman A Conjecture on Poincaré-Betti Series of Modules of Differential Operators on a Generic Hyperplane Arrangement . . . . . 445--456 Lassina Dembélé Explicit Computations of Hilbert Modular Forms on $ {\rm Q}(\sqrt {5}) $ . . . . 457--466 Martin Deraux Dirichlet Domains for the Mostow Lattices . . . . . . . . . . . . . . . . 467--490 Daniel Allcock Orbits in the Leech Lattice . . . . . . 491--509 Anonymous Table of Contents, Exp. Math., vol. 14, no. 4 (2005) . . . . . . . . . . . . . . ??
István Gaál and Michael Pohst Diophantine Equations over Global Functions Fields II: $R$-Integral Solutions of Thue Equations . . . . . . 1--6 Jesús A. De Loera and Tyrrell B. McAllister On the Computation of Clebsch--Gordan Coefficients and the Dilation Effect . . 7--19 Joe Buhler and Daniel Goldstein and David Moews and Joel Rosenberg The Probability That a Random Monic $p$-adic Polynomial Splits . . . . . . . 21--32 Arthur Baragar Fractals and the Base Eigenvalue of the Laplacian on Certain Noncompact Surfaces 33--42 T. C. Peachey and C. M. Enticott Determination of the Best Constant in an Inequality of Hardy, Littlewood, and Pólya . . . . . . . . . . . . . . . . . . 43--50 Yohei Komori and Toshiyuki Sugawa and Masaaki Wada and Yasushi Yamashita Drawing Bers Embeddings of the Teichmüller Space of Once-Punctured Tori 51--60 Masaaki Wada OPTi's Algorithm for Discreteness Determination . . . . . . . . . . . . . 61--66 J. B. Conrey and J. P. Keating and M. O. Rubinstein and N. C. Snaith Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms . . . . . . . . . . . . . . . . . 67--82 Jesús Guillera A New Method to Obtain Series for $ 1 / \pi $ and $ 1 / \pi^2 $ . . . . . . . . 83--89 John M. Neuberger Nonlinear Elliptic Partial Difference Equations on Graphs . . . . . . . . . . 91--107 Roberto De Leo Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron . . . . . . . . . . 109--124 Anonymous Table of Contents, Exp. Math., vol. 15, no. 1 (2006) . . . . . . . . . . . . . . ?? Roberto De Leo Appendix to \em Topology of Plane Sections of Periodic Polyhedra with an Application to the Truncated Octahedron ??
Nathan M. Dunfield and Sergei Gukov and Jacob Rasmussen The Superpolynomial for Knot Homologies 129--159 Richard Evan Schwartz Obtuse Triangular Billiards I: Near the $ (2, 3, 6) $ Triangle . . . . . . . . . 161--182 Tom Müller Searching for Large Elite Primes . . . . 183--186 Andrew V. Sills and Doron Zeilberger Disturbing the Dyson Conjecture (in a GOOD Way) . . . . . . . . . . . . . . . 187--191 R. Sean Bowman and Stephen B. McCaul Fast Searching for Andrews--Curtis Trivializations . . . . . . . . . . . . 193--197 Jim Ruffo and Yuval Sivan and Evgenia Soprunova and Frank Sottile Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds . . . . . . . . . . . . . . . 199--221 John H. Conway and Noam D. Elkies and Jeremy L. Martin The Mathieu Group $ {M}_{12} $ and Its Pseudogroup Extension $ {M}_{13} $ . . . 223--236 Francesco Constantino Complexity of $4$-Manifolds . . . . . . 237--249 Keith Briggs Abundant Numbers and the Riemann Hypothesis . . . . . . . . . . . . . . . 251--256 Anonymous Table of Contents, Experiment. Math., vol. 15, no. 2 (2006) . . . . . . . . . ??
Steven J. Miller Investigations of Zeros near the Central Point of Elliptic Curve $L$-Functions, with an appendix by Eduardo Dueñez . . . 257--279 David H. Bailey and Jonathan M. Borwein and David M. Bradley Experimental Determination of Apéry-like Identities for $ \zeta (2 n + 2) $ . . . 281--289 Daryl Cooper and Darren Long and Morwen Thistlethwaite Computing Varieties of Representations of Hyperbolic $3$-Manifolds into $ {\rm SL}(4, \mathbb {R}) $ . . . . . . . . . 291--305 S. Torquato and F. H. Stillinger New Conjectural Lower Bounds on the Optimal Density of Sphere Packings . . . 307--331 Pedro Antunes and Pedro Freitas New Bounds for the Principal Dirichlet Eigenvalue of Planar Regions . . . . . . 333--342 P. H. Lundow and K. Markström Broken-Cycle-Free Subgraphs and the Log-Concavity Conjecture for Chromatic Polynomials . . . . . . . . . . . . . . 343--353 Patricia L. Quattrini On the Distribution of Analytic $ \sqrt {| \sha |} $ Values on Quadratic Twists of Elliptic Curves . . . . . . . . . . . 355--365 Markus Banagl Combinatorial Random Walks on $3$-Manifolds . . . . . . . . . . . . . 367--381 Anonymous Table of Contents, Experiment. Math., vol. 15, no. 3 (2006) . . . . . . . . . ??
Andrew R. Booker Artin's Conjecture, Turing's Method, and the Riemann Hypothesis . . . . . . . . . 385--407 Jesús Guillera A Class of Conjectured Series Representations for $ 1 / \pi $ . . . . 409--414 Bjorn Poonen Heuristics for the Brauer--Manin Obstruction for Curves . . . . . . . . . 415--420 Janko Gravner and David Griffeath Modeling Snow Crystal Growth I: Rigorous Results for Packard's Digital Snowflakes 421--444 I. R. Hentzel and L. A. Peresi The Nucleus of the Free Alternative Algebra . . . . . . . . . . . . . . . . 445--454 Steven Glenn Jackson and Alfred G. Noël Prehomogeneous Spaces Associated with Nilpotent Orbits in Simple Real Lie Algebras $ {\rm E}_{6(6)} $ and $ {\rm E}_{6( - 26)} $ and Their Relative Invariants . . . . . . . . . . . . . . . 455--469 Irene García-Selfa and José M. Tornero On Simultaneous Arithmetic Progressions on Elliptic Curves . . . . . . . . . . . 471--478 P. M. H. Wilson Some Geometry and Combinatorics for the $ {S} $-Invariant of Ternary Cubics . . 479--490 D. Hacon and C. Mendes de Jesus and M. C. Romero Fuster Fold Maps from the Sphere to the Plane 491--497 Pablo Shmerkin and Boris Solomyak Zeros of $ \{ - 1, 0, 1 \} $ Power Series and Connectedness Loci for Self-Affine Sets . . . . . . . . . . . . 499--511 Anonymous Table of Contents, Experiment. Math., vol. 15, no. 4 (2006) . . . . . . . . . ??
Klaus M. Lux and Magdolna Sz\Hoke Computing Decompositions of Modules over Finite-Dimensional Algebras . . . . . . 1--6 Gavin Brown A Database of Polarized K3 Surfaces . . 7--20 Peter Borwein and Greg Fee and Ron Ferguson and Alexa van der Waal Zeros of Partial Summs of the Riemann Zeta Function . . . . . . . . . . . . . 21--40 Alberto Damiano and Irene Sabadini and Daniele C. Struppa Computational Methods for the Construction of a Class of Noetherian Operators . . . . . . . . . . . . . . . 41--55 D. Eelbode Stirling Numbers and Spin-Euler Polynomials . . . . . . . . . . . . . . 55--66 Ilya Kapovich Clusters, Currents, and Whitehead's Algorithm . . . . . . . . . . . . . . . 67--76 X. Bressaud and G. Poggiaspalla A Tentative Classification of Bijective Polygonal Piecewise Isometries . . . . . 77--100 Younhwan Cheon and Thomas W. Cusick Counting Balanced Boolean Functions in $n$ Variables with Bounded Degree . . . 101--106 Abhijit Champanerkar and Jacob Lewis and Max Lipyanskiy and Scott Meltzer Exceptional Regions and Associated Exceptional Hyperbolic $3$-Manifolds, with an appendix by Alan W. Reid . . . . 106--118 Darrin Doud Supersingular Galois Representations and a Generalization of Conjecture of Serre 119--128 Anonymous Table of Contents, Experiment. Math., vol. 16, no. 1 (2007) . . . . . . . . . ??
Benjamin A. Burton Observations from the $8$-Tetrahedron Nonorientable Census . . . . . . . . . . 129--144 Greg Martin and Kevin O'Bryant The Symmetric Subset Problem in Continuous Ramsey Theory . . . . . . . . 145--166 Ji-Young Ham and Won Taek Song The Minimum Dilatation of Pseudo-Ansonov $5$-Braids . . . . . . . . . . . . . . . 167--180 Zin Arai On Hyperbolic Plateaus of the Hénon Map 181--188 F. Alberto Grünenbaum and Manuel D. de la Iglesia Matrix-Valued Orthogonal Polynomials Related to $ {\rm SU}(N + 1) $, Their Algebras of Differential Operators, and the Corresponding Curves . . . . . . . . 189--208 Jens Kruse Andersen and Harvey Dubner Pseudoprime Statistics to $ 10^{19} $ 209--214 Denis Gaidashev and Michael Yampolsky Cylinder Renormalization of Siegel Disks 215--226 Nigel Boston and Jay Wierer Newton Polytopes of Two-Dimensional Hidden Markov Models . . . . . . . . . . 227--238 Karin Baur and Jan Draisma and Willem A. de Graaf Secant Dimensions of Minimal Orbits: Computations and Conjectures . . . . . . 239--251 Jens Piontkowski On the Number of Cusps of Rational Cuspidal Plane Curves . . . . . . . . . 251--256 Anonymous Table of Contents, Experiment. Math., vol. 16, no. 2 (2007) . . . . . . . . . ??
D. H. Bailey and D. Borwein and J. M. Borwein and R. E. Crandall Hypergeometric Forms for Ising-Class Integrals . . . . . . . . . . . . . . . 257--276 Mike Develin and Josephine Yu Tropical Polytopes and Cellular Resolutions . . . . . . . . . . . . . . 277--292 Mike Boyle and Bryant Lee Jointly Periodic Points in Cellular Automata: Computer Explorations and Conjectures . . . . . . . . . . . . . . 293--302 J. E. Cremona and M. P. Lingham Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes 303--312 Henry Cohn and John H. Conway and Noam D. Elkies and Abhinav Kumar The $ {D}_4 $ Root System Is Not Universally Optimal . . . . . . . . . . 313--320 Annalisa Calini and Joel Langer Schwarz Reflection Geometry II: Local and Global Behavior of the Exponential Map . . . . . . . . . . . . . . . . . . 321--346 Colin M. Campbell and George Havas and Colin Ramsay and Edmund F. Robertson On the Efficiency of the Simple Groups of Order Less Than a Million and Their Covers . . . . . . . . . . . . . . . . . 347--358 Winfried Bruns On the Integral Carathéodory Property . . 359--365 Avner Ash and Jos Brakenhoff and Theodore Zarrabi Equality of Polynomial and Field Discriminants . . . . . . . . . . . . . 367--374 Gordon Ritter A Hardy--Ramanujan Formula for Lie Algebras . . . . . . . . . . . . . . . . 375--384 Anonymous Table of Contents, Experiment. Math., vol. 16, no. 3 (2007) . . . . . . . . . ??
Araceli Bonifant and Marius Dabija and John Milnor Elliptic Curves as Attractors in $ {\mathbb P}^2 $, Part 1: Dynamics . . . 385--420 D. Lehavi and C. Ritzenthaler An Explicit Formula for the Arithmetic-Geometric Mean in Genus $3$ 421--440 B. Schratzberger On the Singularization of the Two-Dimensional Jacobi--Perron Algorithm 441--454 R. Coulangeon and M. I. Icaza and M. O'Ryan Lenstra's Constant and Extreme Forms in Number Fields . . . . . . . . . . . . . 455--462 Roland K. W. Roeder Constructing Hyperbolic Polyhedra Using Newton's Method . . . . . . . . . . . . 463--492 Claus Fieker Sparse Representation for Cyclotomic Fields . . . . . . . . . . . . . . . . . 493--500 A. E. McCluskey and D. W. McIntyre and W. S. Watson The Propositional Theory of Closure . . 501--512 Anonymous Table of Contents, Experiment. Math., vol. 16, no. 4 (2007) . . . . . . . . . ??
Mitsuyuki Ochiai and Noriko Morimura Base-Tangle Decompositions of $n$-String Tangles with $ 1 < n < 10 $ . . . . . . . 1--8 I. S. Dhillon and R. W. Heath and T. Strohmer and J. A. Tropp Constructing Packings in Grassmannian Manifolds via Alternating Projection . . 9--35 L. J. P. Kilford and Gabor Wiese On the Failure of the Gorenstein Property for Hecke Algebras of Prime Weight . . . . . . . . . . . . . . . . . 37--52 Michal Kouril and Jerome L. Paul The van der Waerden Number $ W(2, 6) $ Is $ 1132 $ . . . . . . . . . . . . . . 53--61 Andrzej Dudek and Vojt\ueech Rödl On the Folkman Number $ {f(2, 3, 4)} $ 63--67 Tewodros Amdeberhan and Dante Manna and Victor H. Moll The $2$-adic Valuation of Stirling Numbers . . . . . . . . . . . . . . . . 69--82 Andrej Dujella and Vinko Petri\vccevi\'c Strong Diophantine Triples . . . . . . . 83--89 Mizan Khan and Igor E. Shparlinski and Christian L. Yankov On the Convex Closure of the Graph of Modular Inversions . . . . . . . . . . . 91--104 Mark Watkins Some Heuristics about Elliptic Curves 105--125 Anonymous Table of Contents, Experiment. Math., vol. 17, no. 1 (2008) . . . . . . . . . ??
Jan-Erik Roos The Homotopy Lie Algebra of a Complex Hyperplane Arrangement Is Not Necessarily Finitely Presented . . . . . 129--143 Nobushige Kurokawa and Takakazu Satoh Euclid Prime Sequences over Unique . . . 145--152 Gennaro Amendola Decomposition and Enumeration of Triangulated Surfaces . . . . . . . . . 153--166 Ryo Ohashi The Rational Homology Group of \boldmath$ {\rm Out}(F_n) $ for $ n \leq 6 $ . . . . . . . . . . . . . . . . . . 167--179 Nils Bruin and Michael Stoll Deciding Existence of Rational Points on Curves: An Experiment . . . . . . . . . 181--189 Masayuki Noro and Takeshi Sasaki and Kotaro Yamada and Masaaki Yoshida Confluence of Swallowtail Singularities of the Hyperbolic Schwarz Map Defined by the Hypergeometric Differential Equation 191--204 Martin Traizet Exploring the Space of Embedded Minimal Surfaces of Finite Total Curvature . . . 205--221 Jonathan M. Borwein and Bruno Salvy A Proof of a Recurrence for Bessel Moments . . . . . . . . . . . . . . . . 223--230 Steven J. Miller and Tim Novikoff and Anthony Sabelli The Distribution of the Largest Nontrivial Eigenvalues in Families of Random Regular Graphs . . . . . . . . . 231--244 I. R. Hentzel and L. A. Peresi Nuclear Elements of Degree $6$ in the Free Alternative Algebra . . . . . . . . 245--255 Anonymous Table of Contents, Experiment. Math., vol. 17, no. 2 (2008) . . . . . . . . . ??
Jin-Hwan Cho and Ji-Young Ham The Minimal Dilatation of a Genus-Two Surface . . . . . . . . . . . . . . . . 257--267 Takeshi Sasaki and Kotaro Yamada and Masaaki Yoshida The Hyperbolic Schwarz Map for the Hypergeometric . . . . . . . . . . . . . 269--282 Oliver Goodman and Damian Heard and Craig Hodgson Commensurators of Cusped Hyperbolic Manifolds . . . . . . . . . . . . . . . 283--306 John J. Cannon and Derek F. Holt The Transitive Permutation Groups of Degree $ 32 $ . . . . . . . . . . . . . 307--314 F. Thaine On the Construction of Families of Cyclic Polynomials Whose Roots Are Units 315--331 Tomas Johnson $ L^p $ Spectral Radius Estimates for the Lamé System on an Infinite Sector . . 333--339 Manuel Kauers and Doron Zeilberger Experiments with a Positivity-Preserving Operator . . . . . . . . . . . . . . . . 341--345 Melissa L. Macasieb Derived Arithmetic Fuchsian Groups of Genus Two . . . . . . . . . . . . . . . 347--369 Andrew Bremner On the Equation $ {Y}^2 = {X}^5 + k $ 371--374 Dean Alvis Subrings of the Asymptotic Hecke Algebra of Type $ {H}_4 $ . . . . . . . . . . . 375--383 Anonymous Table of Contents, Experiment. Math., vol. 17, no. 3 (2008) . . . . . . . . . ??
Andrew Bremmer When Can $ ((({X}^2 - {P})^2 - {Q})^2 - {R})^2 - {S}^2 $ Split into Linear Factors? . . . . . . . . . . . . . . . . 385--390 Lluís Alsed\`a and David Juher and Deborah M. King A Lower Bound for the Maximum Topological Entropy of $ (4 k + 2) $-Cycles . . . . . . . . . . . . . . . . 391--408 Daniel B. Grünberg and Pieter Moree Sequences of Enumerative Geometry: Congruences and Asymptotics, with an appendix by Don Zagier . . . . . . . . . 409--426 Lassina Dembélé An Algorithm for Modular Elliptic Curves over Real Quadratic Fields . . . . . . . 427--438 Shaun Cooper The Cubic Chan--Chua Conjecture . . . . 439--442 V. Flammang On the Absolute Trace of Polynomials Having All Zeros in a Sector . . . . . . 443--450 Michael J. Mossinghoff and Georges Rhin and Qiang Wu Minimal Mahler Measures . . . . . . . . 451--458 Ariel Pacetti and Gonzalo Tornaría Computing Central Values of Twisted $L$-Series: The Case of Composite Levels 459--472 Damian Heard and Ekaterina Pervova and Carlo Petronio The $ 191 $ Orientable Octahedral Manifolds . . . . . . . . . . . . . . . 473--486 Kheira Ameur and Mohamed Elhamdadi and Tom Rose and Masahico Saito and Chad Smudde Tangle Embeddings and Quandle Cocycle Invariants . . . . . . . . . . . . . . . 487--498 W. Plesken and D. Robertz Elimination for Coefficients of Special Characteristic Polynomials . . . . . . . 499--510 Anonymous Table of Contents, Experiment. Math., vol. 17, no. 4 (2008) . . . . . . . . . ??
Graham Everest and Valéry Mahé A Generalization of Siegel's Theorem and Hall's Conjecture . . . . . . . . . . . 1--10 Clifton Cunningham and Julia Gordon Motivic Proof of a Character Formula for SL(2) . . . . . . . . . . . . . . . . . 11--44 Alexander Engström Discrete Morse Functions from Fourier Transforms . . . . . . . . . . . . . . . 45--54 Avner Ash and Brandon Bate and Robert Gross Frequencies of Successive Tuples of Frobenius Classes . . . . . . . . . . . 55--64 Nicolas Bernard and Franck Leprévost and Michael Pohst Jacobians of Genus-$2$ Curves with a Rational Point of Order $ 11 $ . . . . . 65--70 Anna Scaramuzza Algorithms for Projectivity and Extremal Classes of a Smooth Toric Variety . . . 71--84 Christian Weber Low-Degree Cohomology of Integral Specht Modules . . . . . . . . . . . . . . . . 85--96 Guo-Niu Han Some Conjectures and Open Problems on Partition Hook Lengths . . . . . . . . . 97--106 D. H. Bailey and J. M. Borwein and R. E. Crandall Resolution of the Quinn--Rand--Strogatz Constant of Nonlinear Physics . . . . . 107--116 Morgan Sherman Convergence Properties of Donaldson's $T$-Iterations on the Riemann Sphere . . 117--126 Anonymous Table of Contents, Experiment. Math., vol. 18, no. 1 (2009) . . . . . . . . . ??
Carlos Castaño-Bernard A Note on the Rational Points of $ X_0^+(N) $ . . . . . . . . . . . . . . . 129--135 Richard Evan Schwartz Obtuse Triangular Billiards II: One Hundred Degrees Worth of Periodic Trajectories . . . . . . . . . . . . . . 137--171 Mark Levi and Serge Tabachnikov On Bicycle Tire Tracks Geometry, Hatchet Planimeter, Menzin's Conjecture, and Oscillation of Unicycle Tracks . . . . . 173--186 Michael Eisermann and Christoph Lamm For Which Triangles Is Pick's Formula Almost Correct? . . . . . . . . . . . . 187--191 Jeffrey Stopple The Quadratic Character Experiment . . . 193--200 Rafa\l Lutowski On Symmetry of Flat Manifolds . . . . . 201--204 Bettina Eick and Dörte Feichtenschlager Constructing CF Groups by Coclass . . . 205--211 Takashi Fukuda and Keiichi Komatsu Weber's Class Number Problem in the Cyclotomic $ {\rm Z}_2 $-Extension of $ {\rm Q} $ . . . . . . . . . . . . . . . 213--222 Matteo Petrera and Andreas Pfadler and Yuri B. Suris On Integrability of Hirota--Kimura-Type Discretizations: Experimental Study of the Discrete Clebsch System . . . . . . 223--247 Jeffrey Wang Finding and Investigating Exact Spherical Codes . . . . . . . . . . . . 249--256 Anonymous Table of Contents, Experiment. Math., vol. 18, no. 2 (2009) . . . . . . . . . ??
Brandon Ballinger and Grigoriy Blekherman and Henry Cohn and Noah Giansiracusa and Elizabeth Kelly and Achill Schürmann Experimental Study of Energy-Minimizing Point Configurations on Spheres . . . . 257--283 Motoo Tange Lens Spaces Given from $L$-Space Homology $3$-Spheres . . . . . . . . . . 285--301 Minoru Yabuta Primitive Divisors of Certain Elliptic Divisibility Sequences . . . . . . . . . 303--310 Yuhei Umeda Constant-Mean-Curvature Surfaces with Singularities in Minkowski $3$-Space . . 311--323 Sergey Kushnarev Teichons: Solitonlike Geodesics on Universal Teichmüller Space . . . . . . . 325--336 Clifton Cunningham and Lassina Dembélé Computing Genus-$2$ Hilbert--Siegel Modular Forms over $ {\rm Q}(\sqrt {5}) $ via the Jacquet--Langlands Correspondence . . . . . . . . . . . . . 337--345 X. W. C. Faber The Geometric Bogomolov Conjecture for Curves of Small Genus . . . . . . . . . 347--367 Hirotachi Abo and Maria Chiara Brambilla Secant Varieties of Segre--Veronese Varieties $ \mathbb {P}^m \times \mathbb {P}^n $ Embedded by $ \mathcal {O}(1, 2) $ . . . . . . . . . . . . . . . . . . . 369--384 Anonymous Table of Contents, Experiment. Math., vol. 18, no. 3 (2009) . . . . . . . . . ??
Hennie De Schepper and Frank Sommen and Liesbet Van de Voorde A Basic Framework for Discrete Clifford Analysis . . . . . . . . . . . . . . . . 385--395 E. Kin and S. Koijima and M. Takasawa Entropy versus Volume for Pseudo-Anosovs 397--407 V. Gelfreich and V. Naudot Width of the Homoclinic Zone in the Parameter Space for Quadratic Maps . . . 409--427 Sonal Jain Minimal Regulators for Rank-2 Subgroups of Rational and $ {K3} $ Elliptic Surfaces . . . . . . . . . . . . . . . . 429--447 Tyrus Berry and Steven M. Heilman and Robert S. Strichartz Outer Approximation of the Spectrum of a Fractal Laplacian . . . . . . . . . . . 449--480 Adam Boocher and Jay Daigle and Jim Hoste and Wenjing Zheng Sampling Lissajous and Fourier Knots . . 481--497 Christian Böhning and Hans-Christian Graf von Bothmer and Jakob Kröker Rationality of Moduli Spaces of Plane Curves of Small Degree . . . . . . . . . 499--508 Anonymous Table of Contents, Experiment. Math., vol. 18, no. 4 (2009) . . . . . . . . . ??
Liqun Fang and J. William Hoffman and Benjamin Linowitz and Andrew Rupinski and Helena Verrill Modular Forms on Noncongruence Subgroups and Atkin--Swinnerton-Dyer Relations . . 1--27 Tobias Finis and Fritz Grunewald and Paulo Tirao The Cohomology of Lattices in $ {\rm SL}(2, \mathbb {C}) $ . . . . . . . . . 29--63 Hidenori Katsurada Exact Standard Zeta Values of Siegel Modular Forms . . . . . . . . . . . . . 65--77 Stefan Hougardy and Frank H. Lutz and Mariano Zelke Surface Realization with the Intersection Segment Functional . . . . 79--92 Gilles Lebeau and Maëlle Nodet Experimental Study of the HUM Control Operator for Linear Waves . . . . . . . 93--120 Ben Elias and Lior Silberman and Ramin Takloo-Bighash Minimal Permutation Representations of Nilpotent Groups . . . . . . . . . . . . 121--128 Anonymous Table of Contents, Experiment. Math., vol. 19, no. 1 (201009) . . . . . . . . ??
Moira Chas and Anthony Phillips Self-Intersection Numbers of Curves on the Punctured Torus . . . . . . . . . . 129--148 Jack Fearnley and Hershy Kisilevsky Critical Values of Derivatives of Twisted Elliptic $L$-Functions . . . . . 149--160 Hossein Movasati and Stefan Reiter Painlevé VI Equations with Algebraic Solutions and Family of Curves . . . . . 161--173 Hans D. Mittelmann and Frank Vallentin High-Accuracy Semidefinite Programming Bounds for Kissing Numbers . . . . . . . 174--178 Andreas-Stephan Elsenhans and Jörg Jahnel On the Smallest Point on a Diagonal Cubic Surface . . . . . . . . . . . . . 181--193 Daniel Delbourgo and Thomas Ward The Growth of CM Periods over False Tate Extensions . . . . . . . . . . . . . . . 195--210 Damian Heard and Craig Hodgson and Bruno Martelli and Carlo Petronio Hyperbolic Graphs of Small Complexity 211--236 Alireza Sarveniazi and Stefan Wiedmann Explicit Construction of the (13,13)-Regular Hypergraph . . . . . . . 237--242 Sebastian Mayer Calculation of Hilbert Borcherds Products . . . . . . . . . . . . . . . . 243--256 Anonymous Table of Contents, Experiment. Math., vol. 19, no. 2 (2010) . . . . . . . . . ??
Kimberly Hopkins Higher-Weight Heegner Points . . . . . . 257--266 Nicholas M. Katz $2$, $3$, $5$, Legendre: $ \pm $ Trace Ratios in Families of Elliptic Curves 267--277 Alessandro Languasco and Alessandro Zaccagnini Computing the Mertens and Meissel--Mertens Constants for Sums over Arithmetic Progressions . . . . . . . . 279--284 Benjamin A. Burton Quadrilateral-Octagon Coordinates for Almost Normal Surfaces . . . . . . . . . 285--315 Helen Avelin Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups 317--334 Helen Avelin Numerical Computations of Green's Function and Its Fourier Coefficients on $ {\rm PSL}(2, \mathbb {Z}) $ . . . . . 335--343 Guillaume Hanrot and Bruno Martin and Gérald Tenenbaum Constantes de Turán--Kubilius friables: une étude numérique. (French) [Reducible Turán--Kubilius constants: a numerical study] . . . . . . . . . . . . . . . . . 345--361 Jakob Jonsson More Torsion in the Homology of the Matching Complex . . . . . . . . . . . . 363--383
Kevin Ford and Jason Sneed Chebyshev's Bias for Products of Two Primes . . . . . . . . . . . . . . . . . 385--398 Steve Butler and Kevin P. Costello and Ron Graham Finding Patterns Avoiding Many Monochromatic Constellations . . . . . . 399--411 Andrew Kresch CW Complexes for Complex Algebraic Surfaces . . . . . . . . . . . . . . . . 413--419 Masato Goshima and Masakazu Yamagishi On the Dimension of the Space of Harmonic Functions on a Discrete Torus 421--429 Jonathan M. Borwein and O-Yeat Chan and R. E. Crandall Higher-Dimensional Box Integrals . . . . 431--446 Dominique Cerveau and Julie Déserti Feuilletages et transformations périodiques. (French) [Branching and periodic transformations] . . . . . . . 447--464 Gunter Malle On the Distribution of Class Groups of Number Fields . . . . . . . . . . . . . 465--474 Eric D. Driver and John W. Jones Minimum Discriminants of Imprimitive Decic Fields . . . . . . . . . . . . . . 475--479 Tanguy Rivoal Extremality Properties of Some Diophantine Series . . . . . . . . . . . 481--494 Aaron Greicius Elliptic Curves with Surjective Adelic Galois Representations . . . . . . . . . 495--507
Yoshihiro Fukumoto $w$-Invariants and the Fintushel--Stern Invariants for Plumbed Homology $3$-Spheres . . . . . . . . . . . . . . 1--14 Antonio J. Durán Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations . . 15--24 Winfried Bruns and Raymond Hemmecke and Bogdan Ichim and Matthias Köppe and Christof Söger Challenging Computations of Hilbert Bases of Cones Associated with Algebraic Statistics . . . . . . . . . . . . . . . 25--33 Ian Morrison and David Swinarski Gröbner Techniques for Low-Degree Hilbert Stability . . . . . . . . . . . . . . . 34--56 Ted Ashton and Jason Cantarella and Michael Piatek and Eric J. Rawdon Knot Tightening by Constrained Gradient Descent . . . . . . . . . . . . . . . . 57--90 Tohru Eguchi and Hirosi Ooguri and Yuji Tachikawa Notes on the $ K3 $ Surface and the Mathieu Group $ {M_24} $ . . . . . . . . 91--96 Pierre Arnoux and Julien Bernat and Xavier Bressaud Geometrical Models for Substitutions . . 97--127
Barnaby Dalton and Mustazee Rahman and Stephen Tanny Spot-Based Generations for Meta-Fibonacci Sequences . . . . . . . . 129--137 Askar Dzhumadil'daev and Pasha Zusmanovich The Alternative Operad Is Not Koszul . . 138--144 Mikkel Abrahamsen and Sòren ren Eilers On the Asymptotic Enumeration of LEGO Structures . . . . . . . . . . . . . . . 145--152 J. O. Button Proving Finitely Presented Groups are Large by Computer . . . . . . . . . . . 153--168 Xavier-François Roblot and Alfred Weiss Numerical Evidence Toward a $2$-adic Equivariant ``Main Conjecture'' . . . . 169--176 E. Giné and C. S. Güntürk and W. R. Madych On the Periodized Square of $ L^2 $ Cardinal Splines . . . . . . . . . . . . 177--188 Kevin G. Hare Generalized Gorshkov--Wirsing Polynomials and the Integer Chebyshev Problem . . . . . . . . . . . . . . . . 189--200 Jonathan Spreer and Wolfgang Kühnel Combinatorial Properties of the $ K^3 $ Surface: Simplicial Blowups and Slicings 201--216 Markus Kirschmer Finite Symplectic Matrix Groups . . . . 217--228
David Bremner and Lars Schewe Edge-Graph Diameter Bounds for Convex Polytopes with Few Facets . . . . . . . 229--237 Steven M. Heilman and Philip Owrutsky and Robert S. Strichartz Orthogonal Polynomials with Respect to Self-Similar Measures . . . . . . . . . 238--259 Édouard Oudet Approximation of Partitions of Least Perimeter by $ \Gamma $-Convergence: Around Kelvin's Conjecture . . . . . . . 260--270 Franck Leprévost and Michael Pohst and Osmanbey Uzunkol On the Computation of Class Polynomials with ``Thetanullwerte'' and Its Applications to the Unit Group Computation . . . . . . . . . . . . . . 271--281 Dror Bar-Natan and Iva Halacheva and Louis Leung and Fionntan Roukema Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots . . . . . . 282--287 Atanas Atanasov and Christopher Lopez and Alexander Perry and Nicholas Proudfoot and Michael Thaddeus Resolving Toric Varieties with Nash Blowups . . . . . . . . . . . . . . . . 288--303 V. Bonnaillie-Noël and B. Helffer Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov--Bohm Hamiltonians on the Square with Application to Minimal Partitions . . . 304--322 Tomas Johnson A Quartic System with Twenty-Six Limit Cycles . . . . . . . . . . . . . . . . . 323--328 Joseph H. Silverman and Katherine E. Stange Amicable Pairs and Aliquot Cycles for Elliptic Curves . . . . . . . . . . . . 329--357 Daniel J. Bates and Luke Oeding Toward a Salmon Conjecture . . . . . . . 358--370 Anonymous Corrigendum . . . . . . . . . . . . . . 371
Andreas-Stephan Elsenhans Rational Points on Some Fano Quadratic Bundles . . . . . . . . . . . . . . . . 373--379 Elena Fuchs and Katherine Sanden Some Experiments with Integral Apollonian Circle Packings . . . . . . . 380--399 Avner Ash and Laura Beltis and Robert Gross and Warren Sinnott Frequencies of Successive Pairs of Prime Residues . . . . . . . . . . . . . . . . 400--411 D. D. Long and A. W. Reid Small Subgroups of $ {\sf SL}(3, \mathbb {Z}) $ . . . . . . . . . . . . . . . . . 412--425 Werner Bley Numerical Evidence for the Equivariant Birch and Swinnerton-Dyer Conjecture . . 426--456 Gregory S. Warrington Equivalence Classes for the $ \mu $-Coefficient of Kazhdan--Lusztig Polynomials in $ S_n $ . . . . . . . . . 457--466 Martin Deraux and John R. Parker and Julien Paupert Census of the Complex Hyperbolic Sporadic Triangle Groups . . . . . . . . 467--486 Mehmet Haluk \cSengün On the Integral Cohomology of Bianchi Groups . . . . . . . . . . . . . . . . . 487--505 Anonymous Editorial Board EOV . . . . . . . . . . ebi Anonymous Miscellaneous backmatter, Experiment. Math., vol. 20, no. 4 (2011) . . . . . . ??
Reza Rezaeian Farashahi and Igor E. Shparlinski On Group Structures Realized by Elliptic Curves over a Fixed Finite Field . . . . 1--10 William D. Banks and Francesco Pappalardi and Igor E. Shparlinski On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields . . 11--25 Moira Chas and Anthony Phillips Self-Intersection Numbers of Curves in the Doubly Punctured Plane . . . . . . . 26--37 Emmanuel Kowalski and David Zywina The Chebotarev Invariant of a Finite Group . . . . . . . . . . . . . . . . . 38--56 Leo T. Butler Smooth Structures on Eschenburg Spaces: Numerical Computations . . . . . . . . . 57--64 Jesús Guillera Mosaic Supercongruences of Ramanujan Type . . . . . . . . . . . . . . . . . . 65--68 Carlos Beltrán and Anton Leykin Certified Numerical Homotopy Tracking 69--83 Josep González and Jorge Jiménez-Urroz The Sato--Tate Distribution and the Values of Fourier Coefficients of Modular Newforms . . . . . . . . . . . . 84--102
Michael A. Bennett and Soroosh Yazdani A Local Version of Szpiro's Conjecture 103--116 Jan H. Bruinier and Fredrik Strömberg Computation of Harmonic Weak Maass Forms 117--131 William D. Banks and Sarah Kang On Repeated Values of the Riemann Zeta Function on the Critical Line . . . . . 132--140 Pavel Etingof and Sherry Gong and Aldo Pacchiano and Qingchun Ren and Travis Schedler Computational Approaches to Poisson Traces Associated to Finite Subgroups of $ {\rm Sp}_{2n}(\mathbb (C)) $ . . . . . 141--170 Almar Kaid and Ralf Kasprowitz Semistable Vector Bundles and Tannaka Duality from a Computational Point of View . . . . . . . . . . . . . . . . . . 171--188 Thomas Lam and Lauren Williams A Markov Chain on the Symmetric Group That Is Schubert Positive? . . . . . . . 189--192 Valery Alexeev and Ryan Livingston and Joseph Tenini and Maxim Arap and Xiaoyan Hu and Lauren Huckaba and Patrick McFaddin and Stacy Musgrave and Jaeho Shin and Catherine Ulrich Extended Torelli Map to the Igusa Blowup in Genus $6$, $7$, and $8$ . . . . . . . 193--203 T. D. Browning and K. Van Valckenborgh Sums of Three Squareful Numbers . . . . 204--211
Jack Fearnley and Hershy Kisilevsky Critical Values of Higher Derivatives of Twisted Elliptic $L$-Functions . . . . . 213--222 Gert Almkvist and Jesús Guillera Ramanujan-like Series for $ 1 / \pi^2 $ and String Theory . . . . . . . . . . . 223--234 Jörn Steuding and Elias Wegert The Riemann Zeta Function on Arithmetic Progressions . . . . . . . . . . . . . . 235--240 Stavros Garoufalidis and Christoph Koutschan The Noncommutative $A$-Polynomial of $ ( - 2, 3, n) $ Pretzel Knots . . . . . . . 241--251 Luis D. García-Puente and Nickolas Hein and Christopher Hillar and Abraham Martín del Campo and James Ruffo and Frank Sottile and Zach Teitler The Secant Conjecture in the Real Schubert Calculus . . . . . . . . . . . 252--265 Takahiro Hayata and Takayuki Oda and Tomoki Yatougo Zero Cells of the Siegel--Gottschling Fundamental Domain of Degree 2 . . . . . 266--279 Milena Hering and Diane Maclagan The $T$-Graph of a Multigraded Hilbert Scheme . . . . . . . . . . . . . . . . . 280--297 Nathan Barker and Nigel Boston and Ben Fairbairn A Note on Beauville $p$-Groups . . . . . 298--306 Matthew W. Alderson and Michael O. Rubinstein Conjectures and Experiments Concerning the Moments of $ L(1 / 2, \chi_d) $ . . 307--328
Nathan M. Dunfield and Stefan Friedl and Nicholas Jackson Twisted Alexander Polynomials of Hyperbolic Knots . . . . . . . . . . . . 329--352 Per Alexandersson and Boris Shapiro Discriminants, Symmetrized Graph Monomials, and Sums of Squares . . . . . 353--361 Salman Baig and Chris Hall Experimental Data for Goldfeld's Conjecture over Function Fields . . . . 362--374 David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee An Empirical Approach to the Normality of $ \pi $ . . . . . . . . . . . . . . . 375--384 Janko Böhm and David Eisenbud and Max J. Nitsche Decomposition of Semigroup Algebras . . 385--394 Tristram Bogart and Ray Hemmecke and Sonja Petrovi\'c Universal Gröbner Bases of Colored Partition Identities . . . . . . . . . . 395--401 Matthew Begue and Daniel J. Kelleher and Aaron Nelson and Hugo Panzo and Ryan Pellico and Alexander Teplyaev Random Walks on Barycentric Subdivisions and the Strichartz Hexacarpet . . . . . 402--417 Anonymous Corrigendum . . . . . . . . . . . . . . 418--418 Anonymous Editorial Board EOV . . . . . . . . . . ebi--ebi
Jonathan M. Borwein and Armin Straub and James Wan Three-Step and Four-Step Random Walk Integrals . . . . . . . . . . . . . . . 1--14 Ayumu Inoue A Symmetric Motion Picture of the Twist-Spun Trefoil . . . . . . . . . . . 15--25 Wutichai Chongchitmate and Lenhard Ng An Atlas of Legendrian Knots . . . . . . 26--37 Daniel J. Bates and Jonathan D. Hauenstein and Timothy M. McCoy and Chris Peterson and Andrew J. Sommese Recovering Exact Results from Inexact Numerical Data in Algebraic Geometry . . 38--50 John J. Cannon and Derek F. Holt Computing Projective Indecomposable Modules and Higher Cohomology Groups . . 51--59 F. Chapoton and L. Manivel Triangulations and Severi Varieties . . 60--73 Alexander Leong and Jeffrey Shallit Counting Sequences with Small Discrepancies . . . . . . . . . . . . . 74--84 Xavier Guitart and Marc Masdeu Computation of ATR Darmon Points on Nongeometrically Modular Elliptic Curves 85--98 Laura De Marco and Aaron Schiff The Geometry of the Critically Periodic Curves in the Space of Cubic Polynomials 99--111
Moon Duchin and Samuel Leli\`evre and Christopher Mooney The Sprawl Conjecture for Convex Bodies 113--122 Neil Dummigan A Simple Trace Formula for Algebraic Modular Forms . . . . . . . . . . . . . 123--131 Oleg Lazarev and Steven J. Miller and Kevin O'Bryant Distribution of Missing Sums in Sumsets 132--156 Richard Evan Schwartz The Five-Electron Case of Thomson's Problem . . . . . . . . . . . . . . . . 157--186 Alexander Barg and Wei-Hsuan Yu New Bounds for Spherical Two-Distance Sets . . . . . . . . . . . . . . . . . . 187--194 J. B. Conrey and M. A. Holmstrom and T. L. McLaughlin Smooth Neighbors . . . . . . . . . . . . 195--202 Paul E. Gunnells and Farshid Hajir and Dan Yasaki Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity . . . 203--216
Roelof Bruggeman and Markus Fraczek and Dieter Mayer Perturbation of Zeros of the Selberg Zeta Function for $ \Gamma_0 (4) $ . . . 217--242 David Harvey and Igor E. Shparlinski Statistics of Different Reduction Types of Fermat Curves . . . . . . . . . . . . 243--249 James E. Colliander and Jeremy L. Marzuola and Tadahiro Oh and Gideon Simpson Behavior of a Model Dynamical System with Applications to Weak Turbulence . . 250--264 Eugene Gorsky and Alexei Oblomkov and Jacob Rasmussen On Stable Khovanov Homology of Torus Knots . . . . . . . . . . . . . . . . . 265--281 Alden Walker Stable Commutator Length in Free Products of Cyclic Groups . . . . . . . 282--298 B. Pasquier and N. Ressayre The Saturation Property for Branching Rules --- Examples . . . . . . . . . . . 299--312 Ivan Cheltsov and Constantin Shramov Del Pezzo Zoo . . . . . . . . . . . . . 313--326 Qingchun Ren and Steven V. Sam and Gus Schrader and Bernd Sturmfels The Universal Kummer Threefold . . . . . 327--362
Amod Agashe Conjectures Concerning the Orders of the Torsion Subgroup, the Arithmetic Component Groups, and the Cuspidal Subgroup . . . . . . . . . . . . . . . . 363--366 Moira Chas and Keren Li and Bernard Maskit Experiments Suggesting That the Distribution of the Hyperbolic Length of Closed Geodesics Sampling by Word Length Is Gaussian . . . . . . . . . . . . . . 367--371 Jonathan D. Hauenstein and Christian Ikenmeyer and J. M. Landsberg Equations for Lower Bounds on Border Rank . . . . . . . . . . . . . . . . . . 372--383 Richard Evan Schwartz Pentagram Spirals . . . . . . . . . . . 384--405 H. A. Helfgott and David J. Platt Numerical Verification of the Ternary Goldbach Conjecture up to $ 8.875 \cdot 10^{30} $ . . . . . . . . . . . . . . . 406--409 Nicolas Bergeron and Elisha Falbel and Antonin Guilloux and Pierre-Vincent Koseleff and Fabrice Rouillier Local Rigidity for $ {\rm PGL}(3, \mathbb {C}) $-Representations of $3$-Manifold Groups . . . . . . . . . . 410--420 J. L. Brumbaugh and Madeleine Bulkow and Luis Alberto Garcia German and Stephan Ramon Garcia and Matt Michal and Andrew P. Turner The Graphic Nature of the Symmetric Group . . . . . . . . . . . . . . . . . 421--442 L. Hajdu and T. Kovács and A. Peth\Ho and M. Pohst An Optimization Problem for Lattices . . 443--455 Rafal Lutowski Finite Outer Automorphism Groups of Crystallographic Groups . . . . . . . . 456--464 Michael O. Rubinstein Elliptic Curves of High Rank and the Riemann Zeta Function on the One Line 465--480 Anonymous EOV Editorial Board . . . . . . . . . . ebi--ebi
S. El Otmani and A. Maul and G. Rhin and J.-M. Sac-Épée Finding Degree-$ 16 $ Monic Irreducible Integer Polynomials of Minimal Trace by Optimization Methods . . . . . . . . . . 1--5 Jonathan Miller and Ramin Naimi An Algorithm for Detecting Intrinsically Knotted Graphs . . . . . . . . . . . . . 6--12 E. Dubon and J. M. Sepulcre On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials . . . . . . . . . 13--24 David Borthwick Distribution of Resonances for Hyperbolic Surfaces . . . . . . . . . . 25--45 Hans-Christian Herbig and Christopher Seaton The Hilbert Series of a Linear Symplectic Circle Quotient . . . . . . . 46--65 Bruno Benedetti and Frank H. Lutz Random Discrete Morse Theory and a New Library of Triangulations . . . . . . . 66--94
Nihal Bircan A Conjecture on Units of Quadratic Fields . . . . . . . . . . . . . . . . . 95--98 Reinhard E. Ganz The Decimal Expansion of $ \pi $ Is Not Statistically Random . . . . . . . . . . 99--104 Konstantinos F. Xylogiannopoulos and Panagiotis Karampelas and Reda Alhajj Experimental Analysis on the Normality of Using Advanced Data-Mining Techniques 105--128 Andreas Enge and Emmanuel Thomé Computing Class Polynomials for Abelian Surfaces . . . . . . . . . . . . . . . . 129--145 Evan DeCorte and David de Laat and Frank Vallentin Fourier Analysis on Finite Groups and the Lovász $ \theta $-Number of Cayley Graphs . . . . . . . . . . . . . . . . . 146--152 Peter D. Horn On Computing the First Higher-Order Alexander Modules of Knots . . . . . . . 153--169 Benjamin A. Burton A Duplicate Pair in the SnapPea Census 170--173 Urban Jezernik and Primoz Moravec Bogomolov Multipliers of Groups of Order $ 128 $ . . . . . . . . . . . . . . . . 174--180 Martin Edjvet and Jerry Swan On Irreducible Cyclic Presentations of the Trivial Group . . . . . . . . . . . 181--189 Gary McGuire and Bastian Tugemann and Gilles Civario There Is No $ 16$-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration . . 190--217 Marc Lackenby and Jessica S. Purcell Geodesics and Compression Bodies . . . . 218--240
Oscar Garcia-Morchon and Ronald Rietman and Igor E. Shparlinski and Ludo Tolhuizen Interpolation and Approximation of Polynomials in Finite Fields over a Short Interval from Noisy Values . . . . 241--260 Scott Crass Dynamics of a Soccer Ball . . . . . . . 261--270 Moira Chas Self-Intersection Numbers of Length-Equivalent Curves on Surfaces . . 271--276 Stuart J. Hall Perelman's Entropy for Some Families of Canonical Metrics . . . . . . . . . . . 277--284 Boris Hasselblatt and Donald Plante Jr. On the Interior of ``Fat'' Sierpi\'nski Triangles . . . . . . . . . . . . . . . 285--309 Federico Galetto Computational Methods for Orbit Closures in a Representation with Finitely Many Orbits . . . . . . . . . . . . . . . . . 310--321 Bogdan Ichim and Andrei Zarojanu An Algorithm for Computing the Multigraded Hilbert Depth of a Module 322--331 Frédéric Chapoton and Samuele Giraudo Enveloping Operads and Bicolored Noncrossing Configurations . . . . . . . 332--349
Ryan Davis and Charles Doran and Adam Gewiss and Andrey Novoseltsev and Dmitri Skjorshammer and Alexa Syryczuk and Ursula Whitcher Short Tops and Semistable Degenerations 351--362 Edson de Faria and Charles Tresser On Sloane's Persistence Problem . . . . 363--382 Graham Ellis and Luyen Van Le Homotopy $2$-Types of Low Order . . . . 383--389 Maki Furukado and Shunji Ito and Asaki Saito and Jun-ichi Tamura and Shin-ichi Yasutomi A New Multidimensional Slow Continued Fraction Algorithm and Stepped Surface 390--410 Andreas-Stephan Elsenhans A Note on Short Cosets . . . . . . . . . 411--413 Kathryn E. Hare and L. Thomas Ramsey Kronecker Constants of Arithmetic Progressions . . . . . . . . . . . . . . 414--422 Sho Takemori Congruence Relations for Siegel Modular Forms of Weight $ 47 $, $ 71 $, and $ 89 $ . . . . . . . . . . . . . . . . . . . 423--428 Steven H. Weintraub The Adjoint of Differentiation . . . . . 429--432 Robert L. Benedetto and Ruqian Chen and Trevor Hyde and Yordanka Kovacheva and Colin White Small Dynamical Heights for Quadratic Polynomials and Rational Functions . . . 433--447 Torsten Hoge and Gerhard Röhrle Ziegler's Multireflection Arrangements Are Free . . . . . . . . . . . . . . . . 448--451 Nicholas M. Katz Equidistribution Questions for Universal Extensions . . . . . . . . . . . . . . . 452--464 Andreas C. Aristotelous and Richard Durrett Fingering in Stochastic Growth Models 465--474 Edgar Costa and Yuri Tschinkel Variation of Néron--Severi Ranks of Reductions of K3 Surfaces . . . . . . . 475--481 Juan García Escudero Arrangements of Real Lines and Surfaces with $A$ and $D$ Singularities . . . . . 482--491 Idan Oren and Uzy Smilansky Periodic Walks on Large Regular Graphs and Random Matrix Theory . . . . . . . . 492--498 Anonymous Editorial Board EOV . . . . . . . . . . ebi--ebi
Julien Clancy and Timothy Leake and Sam Payne A Note on Jacobians, Tutte Polynomials, and Two-Variable Zeta Functions of Graphs . . . . . . . . . . . . . . . . . 1--7 Alexander Berkovich and Frank Patane Essentially Unique Representations by Certain Ternary Quadratic Forms . . . . 8--22 Francesco Cellarosi and Doug Hensley and Steven J. Miller and Jake L. Wellens Continued Fraction Digit Averages and Maclaurin's Inequalities . . . . . . . . 23--44 Bart De Bruyn Every Generalized Quadrangle of Order $5$ Having a Regular Point Is Symplectic 45--52 In-Jee Jeong Outer Billiards with Contraction: Attracting Cantor Sets . . . . . . . . . 53--64 Sebastian Heller and Nicholas Schmitt Deformations of Symmetric CMC Surfaces in the $3$-Sphere . . . . . . . . . . . 65--75 Laurent Bartholdi and Xavier Buff and Hans-Christian Graf von Bothmer and Jakob Kröker Algorithmic Construction of Hurwitz Maps 76--92 Shigeyuki Morita and Takuya Sakasai and Masaaki Suzuki Integral Euler Characteristic of Out $ F_{11} $ . . . . . . . . . . . . . . . . 93--97 Moritz Firsching Computing Maximal Copies of Polyhedra Contained in a Polyhedron . . . . . . . 98--105 Terry A. Loring and Fredy Vides Estimating Norms of Commutators . . . . 106--122 Antonio J. Durán and Mario Pérez and Juan L. Varona Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials . . . . . . . . . . . . . . 123--132
J. D. Hauenstein and A. Lerario and E. Lundberg and D. Mehta Experiments on the Zeros of Harmonic Polynomials Using Certified Counting . . 133--141 István Gaál Calculating ``Small'' Solutions of Relative Thue Equations . . . . . . . . 142--149 Gleb Beliakov and Yuri Matiyasevich Approximation of Riemann's Zeta Function by Finite Dirichlet Series: A Multiprecision Numerical Approach . . . 150--161 Eugene Gorsky and Lukas Lewark On Stable $ \mathfrak {sl}_3 $-Homology of Torus Knots . . . . . . . . . . . . . 162--174 Ted Chinburg and Holley Friedlander and Sean Howe and Michiel Kosters and Bhairav Singh and Matthew Stover and Ying Zhang and Paul Ziegler Presentations for Quaternionic $S$-Unit Groups . . . . . . . . . . . . . . . . . 175--182 Francis N. Castro and Oscar E. González and Luis A. Medina The $p$-adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers . . 183--195 Peter Connor and Kevin Li and Matthias Weber Complete Embedded Harmonic Surfaces in $ R^3 $ . . . . . . . . . . . . . . . . . 196--224 Matthias Görner Regular Tessellation Link Complements 225--246 Noriyuki Otsubo On Special Values of Jacobi-Sum Hecke $L$-Functions . . . . . . . . . . . . . 247--259
Nickolas Hein and Christopher J. Hillar and Abraham Martín del Campo and Frank Sottile and Zach Teitler The Monotone Secant Conjecture in the Real Schubert Calculus . . . . . . . . . 261--269 Roberto De Leo A Conjecture on the Hausdorff Dimension of Attractors of Real Self-Projective Iterated Function Systems . . . . . . . 270--288 Adrian W. Dudek and David J. Platt On Solving a Curious Inequality of Ramanujan . . . . . . . . . . . . . . . 289--294 Kevin G. Hare Base-$d$ Expansions with Digits $0$ to $ q - 1$ . . . . . . . . . . . . . . . . . 295--303 Vefa Goksel and Shixiang Xia and Nigel Boston A Refined Conjecture for Factorizations of Iterates of Quadratic Polynomials over Finite Fields . . . . . . . . . . . 304--311 Arturas Dubickas and Min Sha Counting and Testing Dominant Polynomials . . . . . . . . . . . . . . 312--325 Ken Dykema and Timo Heister and Kate Juschenko Finitely Presented Groups Related to Kaplansky's Direct Finiteness Conjecture 326--338 D. Eelbode and T. Raeymaekers Polynomial Solutions For Arbitrary Higher Spin Dirac Operators . . . . . . 339--354 Martin Deraux On Spherical CR Uniformization of $3$-Manifolds . . . . . . . . . . . . . 355--370 Tim Netzer and Andreas Thom Kazhdan's Property ($T$) via Semidefinite Optimization . . . . . . . 371--374
Steve Donnelly and Paul E. Gunnells and Ariah Klages-Mundt and Dan Yasaki A Table of Elliptic Curves over the Cubic Field of Discriminant-$ 23 $ . . . 375--390 Murray Elder and Andrew Rechnitzer and Esaias J. Janse van Rensburg Random Sampling of Trivial Words in Finitely Presented Groups . . . . . . . 391--409 Kathleen O'Hara and Dennis Stanton Refinements of the Rogers--Ramanujan Identities . . . . . . . . . . . . . . . 410--418 Shashank Kanade and Matthew C. Russell IdentityFinder and Some New Identities of Rogers--Ramanujan Type . . . . . . . 419--423 F. Cioffi and P. Lella and M. G. Marinari and M. Roggero Minimal Castelnuovo--Mumford Regularity for a Given Hilbert Polynomial . . . . . 424--437 Jens Forsgård and Vladimir P. Kostov and Boris Z. Shapiro Could René Descartes Have Known This? . . 438--448 Sandip Singh Orthogonal Hypergeometric Groups with a Maximally Unipotent Monodromy . . . . . 449--459 Oleg R. Musin and Alexey S. Tarasov The Tammes Problem for $ N = 14 $ . . . 460--468 Paolo Aluffi Degrees of Projections of Rank Loci . . 469--488 Hiroyuki Miyata and Arnau Padrol Enumerating Neighborly Polytopes and Oriented Matroids . . . . . . . . . . . 489--505 Anonymous Editorial Board EOV . . . . . . . . . . 506--506
E. Tsukerman Ping-Pong and the Traveling Salesman Problem . . . . . . . . . . . . . . . . 1--7 Zbigniew Blocki and Wlodzimierz Zwonek On the Suita Conjecture for Some Convex Ellipsoids in $ \mathbb {C}^2 $ . . . . 8--16 Craig D. Hodgson and Ahmad Issa and Henry Segerman Non-geometric Veering Triangulations . . 17--45 Bogdan Ichim and Lukas Katthän and Julio José Moyano-Fernández LCM Lattices and Stanley Depth: A First Computational Approach . . . . . . . . . 46--53 Ekaterina Amerik and Pär Kurlberg and Khoa D. Nguyen and Adam Towsley and Bianca Viray and José Felipe Voloch Evidence for the Dynamical Brauer--Manin Criterion . . . . . . . . . . . . . . . 54--65 Neil Hoffman and Kazuhiro Ichihara and Masahide Kashiwagi and Hidetoshi Masai and Shin'ichi Oishi and Akitoshi Takayasu Verified Computations for Hyperbolic $3$-Manifolds . . . . . . . . . . . . . 66--78 Eduard Roure and Artur Travesa Two Independent Checkings of the Weak Goldbach Conjecture up to $ 10^{27} $ 79--82 Anders Jensen and Anton Leykin and Josephine Yu Computing Tropical Curves via Homotopy Continuation . . . . . . . . . . . . . . 83--93 Luke Oeding and Steven V. Sam Equations for the Fifth Secant Variety of Segr\`e Products of Projective Spaces 94--99 Dzmitry Badziahin Computation of the Infimum in the Littlewood Conjecture . . . . . . . . . 100--105
Todd Cochrane and R. M. S. Dissanayake and Nicholas Donohoue and M. I. M. Ishak and Vincent Pigno and Chris Pinner and Craig Spencer Minimal Mahler Measure in Real Quadratic Fields . . . . . . . . . . . . . . . . . 107--115 Ali Golmakani and Stefano Luzzatto and Pawel Pilarczyk Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family . . 116--124 Stavros Garoufalidis and Eric Sabo and Shane Scott Exact Computation of the $n$-Loop Invariants of Knots . . . . . . . . . . 125--129 Maria Angelica Cueto and Hannah Markwig How to Repair Tropicalizations of Plane Curves Using Modifications . . . . . . . 130--164 Sara Billey and Matthew Fahrbach and Alan Talmage Coefficients and Roots of Peak Polynomials . . . . . . . . . . . . . . 165--175 Gavin Brown and Alexander Kasprzyk Four-Dimensional Projective Orbifold Hypersurfaces . . . . . . . . . . . . . 176--193 Edward Newkirk Billiards with Bombs . . . . . . . . . . 194--212 Tanbir Ahmed and Daniel J. Schaal On Generalized Schur Numbers . . . . . . 213--218 E. Falbel and A. Guilloux and P.-V. Koseleff and F. Rouillier and M. Thistlethwaite Character Varieties For : The Figure Eight Knot . . . . . . . . . . . . . . . 219--235
Mohan Gopaladesikan and Stephan Wagner and Mark Daniel Ward On the Asymptotic Probability of Forbidden Motifs on the Fringe of Recursive Trees . . . . . . . . . . . . 237--245 Yen-Liang Kuan and Yi-Hsuan Lin Criterion for Deciding Zeta-Like Multizeta Values in Positive Characteristic . . . . . . . . . . . . . 246--256 David Brander Spherical Surfaces . . . . . . . . . . . 257--272 Igor E. Shparlinski Ratios of Small Integers in Multiplicative Subgroups of Residue Rings . . . . . . . . . . . . . . . . . 273--280 Casey Mann and B. Charles Thomas Heesch Numbers of Edge-Marked Polyforms 281--294 Jay Jorgenson and Lejla Smajlovi\'c and Holger Then Kronecker's Limit Formula, Holomorphic Modular Functions, and $q$-Expansions on Certain Arithmetic Groups . . . . . . . 295--320 Curtis Bright and Raymond Devillers and Jeffrey Shallit Minimal Elements for the Prime Numbers 321--331 Hidenori Katsurada and Sho Takemori Congruence Primes of the Kim--Ramakrishnan--Shahidi Lift . . . . 332--346 B. Ali Ibrahimoglu and Annie Cuyt Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points . . . . . . . . . . . 347--354
Xavier Bressaud and Marie-Claire Fournier Casse-Briques . . . . . . . . . . . . . 357--378 Igor Rivin Spectral Experiments+ . . . . . . . . . 379--388 Ichiro Shimada Automorphisms of Supersingular $ K3 $ Surfaces and Salem Polynomials . . . . . 389--398 Karin Katz and Mikhail Katz and Michael M. Schein and Uzi Vishne Bolza Quaternion Order and Asymptotics of Systoles Along Congruence Subgroups 399--415 P. Martín and R. Ramírez-Ros and A. Tamarit-Sariol Exponentially Small Asymptotic Formulas for the Length Spectrum in Some Billiard Tables . . . . . . . . . . . . . . . . . 416--440 Jonathan Earl and Kevin N. Vander Meulen and Adam Van Tuyl Independence Complexes of Well-Covered Circulant Graphs . . . . . . . . . . . . 441--451 Maria Chiara Brambilla and Olivia Dumitrescu and Elisa Postinghel On the Effective Cone of Blown-up at $ n + 3 $ Points . . . . . . . . . . . . . . 452--465 Evgeny Fominykh and Stavros Garoufalidis and Matthias Goerner and Vladimir Tarkaev and Andrei Vesnin A Census of Tetrahedral Hyperbolic Manifolds . . . . . . . . . . . . . . . 466--481 F. V. Weinstein Notes on Fibonacci Partitions . . . . . 482--499
Jeffrey C. Lagarias and Harsh Mehta Products of Farey Fractions . . . . . . 1--21 Arvind Ayyer and Anne Schilling and Nicolas M. Thiéry Spectral Gap for Random-to-Random Shuffling on Linear Extensions . . . . . 22--30 Serge Bouc and Alexander Zimmermann On a Question of Rickard on Tensor Products of Stably Equivalent Algebras 31--44 Jeffrey Stopple Lehmer Pairs Revisited . . . . . . . . . 45--53 Riikka Kangaslampi and Alina Vdovina Hyperbolic Triangular Buildings Without Periodic Planes of Genus $2$ . . . . . . 54--61 Jakob Ablinger Discovering and Proving Infinite Binomial Sums Identities . . . . . . . . 62--71 Florian Pausinger An Accurate Heuristic for a Problem of Shparlinski . . . . . . . . . . . . . . 72--76 D. J. Platt and O. Ramaré Explicit Estimates: From $ \Lambda (n) $ in Arithmetic Progressions to $ \Lambda (n) / n $ . . . . . . . . . . . . . . . 77--92 Ronen E. Mukamel Visualizing the Unit Ball for the Teichmüller Metric . . . . . . . . . . . 93--97 Michael Bogner and Stefan Reiter Some Fourth Order CY-type Operators with Non-symplectically Rigid Monodromy . . . 98--113 Donghoon Hyeon An Outline of the Log Minimal Model Program for the Moduli Space of Curves 114--124
David H. Bailey Jonathan Borwein: Experimental Mathematician . . . . . . . . . . . . . 125--129 Micha\l Laso\'n and Mateusz Micha\lek Non-Normal Very Ample Polytopes --- Constructions and Examples . . . . . . . 130--137 Mahito Kobayashi and Minoru Yamamoto Views of Real Projective $3$-Space by Stable Maps into the Plane . . . . . . . 138--152 Daniel Irving Bernstein and Seth Sullivant Normal Binary Hierarchical Models . . . 153--164 Jasper Van Hirtum On the Distribution of Frobenius of Weight $2$ Eigenforms with Quadratic Coefficient Field . . . . . . . . . . . 165--188 Juan García Escudero Threefolds from Solutions of a Partial Differential Equation . . . . . . . . . 189--196 Stefano Arnone and Corrado Falcolini and Francesco Moauro and Matteo Siccardi On Numbers in Different Bases: Symmetries and a Conjecture . . . . . . 197--209 Nathan McNew The Most Frequent Values of the Largest Prime Divisor Function . . . . . . . . . 210--224 J. Tamminen and T. Tarvainen and S. Siltanen The D-Bar Method for Diffuse Optical Tomography: A Computational Study . . . 225--240 Christian Berg On a Family of Functions Studied by Bhatia and Jain . . . . . . . . . . . . 241--246 Nikola Adzaga Automated Conjecturing of Frobenius Numbers via Grammatical Evolution . . . 247--252
Joe Henson and David Rideout and Rafael D. Sorkin and Sumati Surya Onset of the Asymptotic Regime for (Uniformly Random) Finite Orders . . . . 253--266 Bettina Eick and Tobias Moede Coclass Theory for Finite Nilpotent Associative Algebras: Algorithms and a Periodicity Conjecture . . . . . . . . . 267--274 J. M. Landsberg and Nicholas Ryder On the Geometry of Border Rank Algorithms for $ n \times 2 $ by $ 2 \times 2 $ Matrix Multiplication . . . . 275--286 Daeyeoul Kim and Abdelmejid Bayad Polygon Numbers Associated with the Sum of Odd Divisors Function . . . . . . . . 287--297 David H. Bailey and Jonathan M. Borwein and Richard P. Brent and Mohsen Reisi Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi . . . . . . . . . . . . . . 298--305 Reinhard E. Ganz Reply to ``Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi'' [Bailey et al. 17] . . . . . . . . . . . . . . . 306--307 John W. Lawson Minimal Mutation-Infinite Quivers . . . 308--323 Matteo Petrera and Andreas Pfadler and Yuri B. Suris and Yuri N. Fedorov On the Construction of Elliptic Solutions of Integrable Birational Maps 324--341 Michael Cuntz On Wild Frieze Patterns . . . . . . . . 342--348 David H. Bailey and Jonathan M. Borwein and Jason S. Kimberley and Watson Ladd Computer Discovery and Analysis of Large Poisson Polynomials . . . . . . . . . . 349--363 Andrew E. Silverio Reversing Palindromic Enumeration in Rank-Two Free Groups . . . . . . . . . . 364--372 Daniel Moseley and Nicholas Proudfoot and Ben Young The Orlik--Terao Algebra and the Cohomology of Configuration Space . . . 373--380
Virginie Bonnaillie-Noël and Corentin Léna Spectral Minimal Partitions for a Family of Tori . . . . . . . . . . . . . . . . 381--395 Michel Börner and Irene I. Bouw and Stefan Wewers The Functional Equation for $L$-Functions of Hyperelliptic Curves 396--411 Jonathan M. Borwein and Neil J. Calkin and Scott B. Lindstrom and Andrew Mattingly Continued Logarithms and Associated Continued Fractions . . . . . . . . . . 412--429 Jennifer Paulhus and Anita M. Rojas Completely Decomposable Jacobian Varieties in New Genera . . . . . . . . 430--445 Michael Stoll Simultaneous Torsion in the Legendre Family . . . . . . . . . . . . . . . . . 446--459 Stefan Steinerberger A Hidden Signal in the Ulam Sequence . . 460--467 William C. Abram and Artem Bolshakov and Jeffrey C. Lagarias Intersections of Multiplicative Translates of $3$-Adic Cantor Sets II: Two Infinite Families . . . . . . . . . 468--489 Amir Dzambi\'c and Xavier Roulleau On the Cohomology of the Stover Surface 490--495 Beniamin Bogosel and Édouard Oudet Partitions of Minimal Length on Manifolds . . . . . . . . . . . . . . . 496--508 Anonymous Editorial Board EOV . . . . . . . . . . ??
Martin Henk A Note on Lattice Packings via Lattice Refinements . . . . . . . . . . . . . . 1--9 Gökalp Alpan and Alexander Goncharov and Ahmet Nihat Simsek Asymptotic Properties of Jacobi Matrices for a Family of Fractal Measures . . . . 10--21 Benjamin A. Burton and Basudeb Datta and Nitin Singh and Jonathan Spreer A Construction Principle for Tight and Minimal Triangulations of Manifolds . . 22--36 Tomoki Kawahira The Riemann Hypothesis and Holomorphic Index in Complex Dynamics . . . . . . . 37--46 Peter Connor Higher Genus Doubly Periodic Minimal Surfaces . . . . . . . . . . . . . . . . 47--61 J. S. Brauchart and A. B. Reznikov and E. B. Saff and I. H. Sloan and Y. G. Wang and R. S. Womersley Random Point Sets on the Sphere-Hole Radii, Covering, and Separation . . . . 62--81 D. D. Long and M. B. Thistlethwaite Zariski Dense Surface Subgroups in $ {\rm SL}(4, \mathbb {Z}) $ . . . . . . . 82--92 M. Arnold and T. Dauer and M. Doucette and S.-C. Wolf On a Very Steep Version of the Standard Map . . . . . . . . . . . . . . . . . . 93--99 Daniel Nichols Analogues of the $ 3 x + 1 $ Problem in Polynomial Rings of Characteristic $2$ 100--110 Shoichi Fujima and Humio Ichimura Note on the Class Number of the $p$th Cyclotomic Field, II . . . . . . . . . . 111--118 P. Åhag and R. Czyz and P. H. Lundow A Counterexample to a Conjecture by Blocki--Zwonek . . . . . . . . . . . . . 119--124
Jonathan W. Bober and Ghaith A. Hiary New Computations of the Riemann Zeta Function on the Critical Line . . . . . 125--137 A. R. Rahimipour and A. R. Ashrafi and A. Gholami The Existence of Minimal Logarithmic Signatures for Some Finite Simple Groups 138--146 V. Z. Enolski and Yu. N. Fedorov Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization $ (1, 2) $ . . . . . . 147--178 Michael Braun and Patric R. J. Östergård and Alfred Wassermann New Lower Bounds for Binary Constant-Dimension Subspace Codes . . . 179--183 Domingo Gómez-Pérez and Igor E. Shparlinski Arithmetic Properties of Integers in Chains and Reflections of $g$-ary Expansions . . . . . . . . . . . . . . . 184--192 Alexander Kolpakov and Jun Murakami Combinatorial Decompositions, Kirillov--Reshetikhin Invariants, and the Volume Conjecture for Hyperbolic Polyhedra . . . . . . . . . . . . . . . 193--207 Laurent Habsieger and Alain Plagne A Numerical Note on Upper Bounds for $ B_2 [g] $ Sets . . . . . . . . . . . . . 208--214 Zachary Bagley and Ray Treinen On the Classification and Asymptotic Behavior of the Symmetric Capillary Surfaces . . . . . . . . . . . . . . . . 215--229 Jonas Bergström and Neil Dummigan and Thomas Mégarbané and Tomoyoshi Ibukiyama and Hidenori Katsurada Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple Product $L$-values . . . . . . . . . . . . . . . 230--250
Ben-Michael Kohli The Links--Gould Invariant as a Classical Generalization of the Alexander Polynomial? . . . . . . . . . 251--264 Philipp Lampe On the Approximate Periodicity of Sequences Attached to Non-Crystallographic Root Systems . . . 265--271 Thomas Purslow The Restricted Ermolaev Algebra and $ F_4 $ . . . . . . . . . . . . . . . . . 272--276 Quentin F. Gronau and Eric-Jan Wagenmakers Bayesian Evidence Accumulation in Experimental Mathematics: A Case Study of Four Irrational Numbers . . . . . . . 277--286 Igor Dolgachev Salem Numbers and Enriques Surfaces . . 287--301 Shigeyuki Morita and Takuya Sakasai and Masaaki Suzuki An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra . . . . . . . . . . . . . . . . 302--315 Dan Romik Differential Equations and Exact Solutions in the Moving Sofa Problem . . 316--330 Carlos Sevcik Fractal Analysis of Pi Normality . . . . 331--343 Xavier Guitart and Marc Masdeu Periods of Modular GL$_2$-type Abelian Varieties and $p$-adic Integration . . . 344--361 Fabrício Caluza Machado and Fernando Mário de Oliveira Filho Improving the Semidefinite Programming Bound for the Kissing Number by Exploiting Polynomial Symmetry . . . . . 362--369 D. H. Bailey and J. M. Borwein Computation and Experimental Evaluation of Mordell--Tornheim--Witten Sum Derivatives . . . . . . . . . . . . . . 370--376
Mason A. Porter and Norman J. Zabusky and Bambi Hu and David K. Campbell Fermi, Pasta, Ulam and the Birth of Experimental Mathematics: a numerical experiment that Enrico Fermi, John Pasta, and Stanis\law Ulam reported 54 years ago continues to inspire discovery 214--221