A Certain Mean Square Value Involving Dirichlet <i>L</i>-Functions

The main purpose of this article is using the elementary methods, the properties of Dirichlet <i>L</i>-functions to study the computational problem of a certain mean square value involving Dirichlet <i>L</i>-functions at positive integer points, and give some exact calculatin...

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Bibliographic Details
Main Authors: Wenpeng Zhang, Di Han
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/6/948
Description
Summary:The main purpose of this article is using the elementary methods, the properties of Dirichlet <i>L</i>-functions to study the computational problem of a certain mean square value involving Dirichlet <i>L</i>-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.
ISSN:2227-7390