Identities involving trigonometric functions and Bernoulli numbers

被引：12
|
作者：
Zhang, Wenpeng [1 ]
Lin, Xin [1 ]
机构：
[1] Northwestern Univ, Sch Math, Xian, Shaanxi, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 334卷
关键词：
Trigonometric sums; Computational formula; Identity; Dirichlet L-functions; Bernoulli numbers; DIRICHLET L-FUNCTIONS;
D O I：
10.1016/j.amc.2018.04.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is using the elementary method and the properties of trigonometric functions to study the computational problem of one kind trigonometric sums, and give some interesting identities involving sin (x), cos (x), tan (x), cot (x), Bernoulli numbers and Dirichlet L - functions. As a result, we obtain a relationship between the summation of cot(x) with character and Dirichlet L - function. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：288 / 294
页数：7
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