Lithuanian Mathematical Journal

, Volume 58, Issue 1, pp 1–14 | Cite as

On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*

  • Goran Djanković
  • Dragan Ðokić
  • Nikola Lelas
  • Ilija Vrećica
Article
  • 33 Downloads

Abstract

In this paper, we investigate hybrid power moments of generalized quadratic Gauss sums weighted with powers of Kloosterman sums and with powers of values of Dirichlet L-functions at 1. We obtain several exact formulas for prime and prime power modulus and some asymptotic formulas.

Keywords

generalized quadratic Gauss sums Kloosterman sums hybrid power mean values Dirichlet L-functions 

MSC

primary 11L05, 11T24 secondary 11M20 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Goran Djanković
    • 1
  • Dragan Ðokić
    • 1
  • Nikola Lelas
    • 1
  • Ilija Vrećica
    • 1
  1. 1.Faculty of MathematicsUniversity of BelgradeBelgradeSerbia

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