Last update: Wed Oct 26 02:10:52 MDT 2005
Top |
Symbols |
Math |
A |
B |
C |
D |
E |
F |
G |
H |
I |
J |
K |
L |
M |
N |
O |
P |
Q |
R |
S |
T |
U |
V |
W |
X |
Y |
Z
BibTeX entry
@Article{Buchmann:1987:PIT,
author = "Johannes Buchmann and H. C. Williams",
title = "On principal ideal testing in totally complex quartic
fields and the determination of certain cyclotomic
constants",
journal = j-MATH-COMPUT,
volume = "48",
number = "177",
pages = "55--66",
month = jan,
year = "1987",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "11Y40 (11R16)",
MRnumber = "87m:11127",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1160 (Combinatorial mathematics); C4240 (Programming
and algorithm theory)",
corpsource = "Dept. of Maths., Ohio State Univ., Columbus, OH, USA",
keywords = "algebraic number; complexity analysis; computational
complexity; cyclotomic constants; fields; number
theory; principal ideal testing; quadratic nonresidue;
quintic nonresidue; totally complex quartic",
treatment = "T Theoretical or Mathematical",
}
Related entries
- 11R16,
42(166)707,
43(168)621,
44(170)495,
45(171)223,
45(172)585,
46(173)295,
46(173)333,
46(174)659,
46(174)691,
48(177)39,
48(177)371,
49(180)615,
50(182)535,
50(182)543,
50(182)569,
50(182)581,
50(182)655,
52(185)161,
53(187)387,
53(188)689
- 11Y40,
43(167)273,
43(167)313,
44(170)495,
45(171)223,
45(172)569,
45(172)585,
45(172)591,
46(173)295,
46(173)333,
46(174)623,
47(176)741,
48(177)39,
48(177)85,
48(177)123,
48(177)147,
48(177)309,
49(179)281,
49(180)615,
50(182)569,
50(182)581,
50(182)619,
50(182)655,
51(183)339,
51(184)809,
52(185)149,
52(185)161,
52(185)189,
53(187)387,
53(188)679,
53(188)689,
53(188)697
- algebraic,
35(151)851,
35(151)991,
36(153)35,
37(155)205,
37(156)417,
38(157)207,
38(157)227,
38(157)257,
38(157)261,
38(157)275,
38(158)627,
39(160)467,
40(162)499,
40(162)607,
40(162)685,
41(163)13,
41(163)229,
41(163)235,
42(165)241,
42(166)637,
42(166)663,
43(167)219,
43(168)621-1,
45(171)243,
45(171)z-1,
45(172)569,
46(173)175,
46(174)491,
46(174)613,
46(174)627,
47(175)103,
47(176)625,
47(176)639,
48(177)309,
48(178)781,
50(181)235,
50(182)557,
50(182)569,
51(183)27,
51(183)231,
51(184)659,
51(184)761,
51(184)837,
51(184)z,
52(185)103,
52(185)201,
53(187)1,
53(187)335,
53(188)455,
53(188)649,
53(188)679,
53(188)689,
53(188)697
- Buchmann, Johannes,
48(177)39,
48(177)179,
50(182)569,
52(185)149,
52(185)161,
52(185)z,
53(188)679
- Buell, Duncan A.,
34(149)175,
36(153)299,
38(158)639,
42(166)707,
43(167)313,
43(168)621,
45(171)233,
45(172)585,
45(172)591,
46(173)333,
48(177)39,
48(177)85,
48(177)123,
49(180)635,
50(181)261,
52(185)161,
53(188)679
- certain,
34(150)647,
35(152)1423,
35(152)1435,
38(157)201,
38(157)237,
38(158)431,
38(158)611,
38(158)627,
39(159)165,
39(160)625,
41(163)27,
41(163)199,
42(165)1,
42(166)683,
43(168)603,
45(172)513,
46(173)333,
46(174)613,
46(174)659,
48(177)29,
49(179)243,
51(183)291,
52(185)95
- complex,
35(152)1181,
35(152)1231,
35(152)1317,
35(152)1325,
35(152)1379,
39(160)599,
40(161)343,
40(162)575,
40(162)599,
40(162)607,
41(163)295,
42(165)151,
42(166)707,
44(169)125,
44(170)425,
45(171)223,
46(173)151,
47(175)265,
47(175)301,
47(175)323,
47(176)729,
48(177)39,
48(177)323,
49(179)231,
50(181)265,
50(182)655,
51(183)133,
51(183)339,
51(184)707,
51(184)721,
52(185)189,
52(185)231,
53(187)265,
53(187)415,
53(188)589
- complexity,
34(149)155,
35(152)1039,
35(152)1093,
36(153)215,
36(153)261,
37(155)185,
42(165)25,
42(165)69,
43(167)289,
44(170)463,
44(170)483,
44(170)537,
45(171)223,
45(171)251,
46(173)255,
46(174)457,
47(176)461,
48(177)17,
48(177)39,
48(177)95,
48(177)243,
48(177)315,
48(177)385,
48(177)425,
48(178)737,
49(179)25,
50(181)179,
50(181)189,
50(181)235,
50(182)431,
50(182)481,
50(182)569,
50(182)619,
53(187)25,
53(187)103,
53(187)249,
53(187)399,
53(188)455,
53(188)679,
53(188)697
- computational,
34(149)155,
35(151)941,
35(152)1039,
35(152)1093,
36(153)215,
36(153)261,
37(155)185,
38(157)87,
40(162)499,
42(165)25,
42(165)69,
42(165)331,
43(167)69,
43(167)289,
43(167)347,
43(168)433,
44(169)81,
44(169)125,
44(170)463,
44(170)483,
44(170)537,
45(171)223,
45(171)251,
45(172)621,
46(173)255,
46(174)531,
46(174)627,
47(176)461,
48(177)17,
48(177)39,
48(177)95,
48(177)243,
48(177)315,
48(177)385,
48(177)425,
48(178)737,
48(178)781
- constant,
34(149)305,
34(150)373,
35(152)1191,
37(155)79,
39(159)195,
39(160)415,
44(169)241,
44(169)z-1,
44(170)283,
45(171)1,
45(171)91,
45(172)365,
45(172)621,
46(173)59,
48(178)854,
49(180)479,
49(180)523,
49(180)635,
50(181)275,
51(183)281,
53(187)81,
53(187)103,
53(188)649
- cyclotomic,
35(152)1361,
41(163)303,
46(173)337,
47(176)693,
48(177)67,
48(177)211,
49(179)281,
50(182)543,
52(185)189,
52(185)201
- determination,
35(152)1191,
35(152)1383,
36(153)137,
38(157)261,
40(162)647,
43(167)117,
46(174)637,
52(185)189,
53(187)203,
53(187)343
- ideal,
38(157)275,
50(182)569,
52(186)539
- principal,
38(157)261,
41(163)63,
44(169)191,
44(169)199,
45(171)91,
45(171)277,
48(178)725,
49(179)259,
50(182)569,
50(182)655,
51(183)133,
51(183)267,
51(184)741,
52(185)95,
53(187)203,
53(187)279
- quadratic,
36(154)475,
36(154)565,
36(154)627,
36(154)631,
37(155)135,
37(156)347,
39(160)709,
40(161)283,
40(162)607,
40(162)685,
41(163)165,
41(163)287,
41(163)295,
43(167)313,
43(168)621-1,
44(169)135,
44(169)151,
44(169)233,
45(171)173,
45(171)233,
46(173)191,
46(173)333,
46(174)537,
46(174)637,
47(176)741,
48(177)17,
48(177)85,
48(177)233,
48(177)329,
48(177)405,
48(178)757,
49(179)281,
49(179)295,
49(180)479,
50(181)321,
50(182)619,
51(183)181,
51(183)219,
51(183)291,
51(184)809,
52(185)175,
52(186)437,
52(186)457,
53(187)415,
53(188)697
- quartic,
35(152)1383,
42(166)707,
43(167)329,
43(168)621,
45(171)233,
48(177)39,
48(177)211,
48(177)371,
49(180)615,
52(185)161,
52(185)175,
53(187)387
- quintic,
50(182)535,
50(182)543,
52(186)471
- testing,
35(152)1181,
35(152)1379,
36(153)261,
41(164)699,
42(165)297,
46(173)259,
48(177)341,
50(181)283,
50(182)399
- totally,
37(155)205,
42(166)663,
44(170)495,
45(172)585,
48(177)39,
48(177)147,
50(182)581,
51(183)359,
52(185)161,
53(187)387
- Williams, H. C.,
34(150)567,
35(152)1419,
35(152)1423,
36(153)291,
36(154)593,
36(154)631,
37(155)229,
38(157)261,
39(159)225,
39(159)308,
41(163)235,
42(166)683,
44(170)523,
45(171)223,
46(173)333,
46(174)691,
47(176)703,
48(177)385,
48(177)405,
50(182)569,
50(182)619,
50(182)655,
51(184)809,
53(188)679