A generalization of a curious congruence on harmonic sums

被引：27

作者：

Zhou, Xia ^{[1
]}

Cai, Tianxin ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 05期

关键词：

Bernoulli numbers; congruences of harmonic sums; partitions;

D O I：

10.1090/S0002-9939-06-08777-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Zhao established a curious harmonic congruence for prime p > 3: [GRAPHICS] In this note the authors extend it to the following congruence for any prime p > 3 and positive integer n <= p - 2: [GRAPHICS] Other improvements on congruences of harmonic sums are also obtained.

引用

页码：1329 / 1333

页数：5

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