On sums of certain trigonometric series

被引：0

作者：

Eie, M ^{[1
]}

Ong, YL ^{[1
]}

机构：

[1] Natl Chung Cheng Univ, Dept Math, Chiayi 621, Taiwan

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2003年 / 67卷 / 01期

关键词：

D O I：

10.1017/S0004972700033566

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a fixed positive integer. In this paper, we apply a newly developed method of Eie and Lai to the evaluation of certain infinite trigonometric series. Indeed, we are able to express the sums of these series in terms of Bernoulli polynomials. That is, we obtain several new Bernoulli identities. A similar method leads to Ramanujan's identities.

引用

页码：103 / 114

页数：12

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