CYCLOTOMIC INVARIANTS FOR PRIMES BETWEEN 125000 AND 150000

被引：11

作者：

ERNVALL, R

METSANKYLA, T

机构：

来源：

MATHEMATICS OF COMPUTATION | 1991年 / 56卷 / 194期

关键词：

CYCLOTOMIC FIELDS; BERNOULLI NUMBERS; IRREGULAR PRIMES; IWASAWA INVARIANTS; CLASS NUMBERS; COMPUTATION;

D O I：

10.2307/2008413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Computations by Iwasawa and Sims, by Johnson, and by Wagstaff have determined certain important cyclotomic invariants for all primes up to 125000. We extended their results to 150000, basing our work on a recently computed list of irregular primes and using a new method.

引用

页码：851 / 858

页数：8

共 11 条

[1] COMPUTATION OF INVARIANTS IN THEORY OF CYCLOTOMIC FIELDS
IWASAWA, K
SIMS, CC
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1966, 18 (01) : 86 - +
[2] P-ADIC PROOFS OF CONGRUENCES FOR BERNOULLI NUMBERS
JOHNSON, W
[J]. JOURNAL OF NUMBER THEORY, 1975, 7 (02) : 251 - 265
[3] JOHNSON W, 1974, MATH COMPUT, V28, P653, DOI 10.1090/S0025-5718-1974-0347727-0
[4] JOHNSON W, 1975, MATH COMPUT, V29, P113, DOI 10.1090/S0025-5718-1975-0376606-9
[5] VANISHING OF IWASAWA INVARIANT MUP FOR P LESS-THAN 8000
JOHNSON, W
[J]. MATHEMATICS OF COMPUTATION, 1973, 27 (122) : 387 - 396
[6] Lang S., 1980, CYCLOTOMIC FIELDS
[7] On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
Lehmer, E
[J]. ANNALS OF MATHEMATICS, 1938, 39 : 350 - 360
[8] METSANKYLA T, 1987, VORONOI CONGRUENCE B, P112
[9] TANNER JW, 1987, MATH COMPUT, V48, P341, DOI 10.1090/S0025-5718-1987-0866120-4
[10] IRREGULAR PRIMES TO 125000
WAGSTAFF, SS
[J]. MATHEMATICS OF COMPUTATION, 1978, 32 (142) : 583 - 591

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