Identities involving trigonometric functions and Bernoulli numbers

Wenpeng Zhang and Xin Lin

Applied Mathematics and Computation, 2018, vol. 334, issue C, 288-294

Abstract: 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.

Keywords: Trigonometric sums; Computational formula; Identity; Dirichlet L-functions; Bernoulli numbers (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:334:y:2018:i:c:p:288-294

DOI: 10.1016/j.amc.2018.04.015

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