Arithmetic Identities Involving Bernoulli and Euler Numbers

被引：6

作者：

Chu, Wenchang ^{[1
]}

Wang, Chenying ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2009年 / 55卷 / 1-2期

关键词：

Bernoulli numbers; Euler numbers; trigonometric expansions; convolution formulae;

D O I：

10.1007/s00025-009-0378-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By applying the formal power series method to elementary trigonometric sums, we establish four classes of arithmetic identities involving Bernoulli and Euler numbers, including the recent formulae due to Liu and Luo (2005).

引用

页码：65 / 77

页数：13

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