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A Certain Mean Square Value Involving Dirichlet L -Functions

Author

Listed:
  • Wenpeng Zhang

    (School of Mathematics, Northwest University, Xi’an 710127, China)

  • Di Han

    (School of Mathematics, Northwest University, Xi’an 710127, China)

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.

Suggested Citation

  • Wenpeng Zhang & Di Han, 2020. "A Certain Mean Square Value Involving Dirichlet L -Functions," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:948-:d:369365
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