Fermat quotients for composite moduli

被引：48

作者：

Agoh, T

Dilcher, K

Skula, L

机构：

[1] SCI UNIV TOKYO, DEPT MATH, NODA, CHIBA 278, JAPAN

[2] DALHOUSIE UNIV, DEPT MATH STAT & COMP SCI, HALIFAX, NS B3H 3J5, CANADA

[3] MASARYK UNIV, FAC SCI, DEPT MATH, BRNO 66295, CZECH REPUBLIC

来源：

JOURNAL OF NUMBER THEORY | 1997年 / 66卷 / 01期

关键词：

D O I：

10.1006/jnth.1997.2162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Analogues of Fermat quotients for a composite modulus m greater than or equal to 2 are investigated, with special emphasis on various congruences. In particular, the numbers m for which a(phi(m)) = 1 (mod m(2)), where gcd(a, m)= 1, (''Wieferich numbers with base a'') are completely characterized in terms of the Wieferich primes with base a. (C) 1997 Academic Press.

引用

页码：29 / 50

页数：22

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[2]

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[3]

Baker HF, 1907, P LOND MATH SOC, V4, P131

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