A Certain Mean Square Value Involving Dirichlet L -Functions

Wenpeng Zhang and Di Han
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Wenpeng Zhang: School of Mathematics, Northwest University, Xi’an 710127, China
Di Han: School of Mathematics, Northwest University, Xi’an 710127, China

Mathematics, 2020, vol. 8, issue 6, 1-11

Abstract: 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.

Keywords: Dirichlet L -functions; elementary method; mean square value; trigonometric sums; computational formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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