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Open AccessArticle

A Certain Mean Square Value Involving Dirichlet L-Functions

School of Mathematics, Northwest University, Xi’an 710127, China
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Mathematics 2020, 8(6), 948; https://doi.org/10.3390/math8060948
Received: 7 May 2020 / Revised: 4 June 2020 / Accepted: 5 June 2020 / Published: 9 June 2020
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2020)
The main purpose of this article is using the elementary methods, the properties of Dirichlet L-functions to study the computational problem of a certain mean square value involving Dirichlet L-functions at positive integer points, and give some exact calculating formulae. As some applications, we obtain some interesting identities and inequalities involving character sums and trigonometric sums. View Full-Text
Keywords: Dirichlet L-functions; elementary method; mean square value; trigonometric sums; computational formula Dirichlet L-functions; elementary method; mean square value; trigonometric sums; computational formula
MDPI and ACS Style

Zhang, W.; Han, D. A Certain Mean Square Value Involving Dirichlet L-Functions. Mathematics 2020, 8, 948.

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