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

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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.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski Trg. 16, p.p. 550, Belgrade, 11000, Serbia

    Goran Djanković, Dragan Ðokić, Nikola Lelas & Ilija Vrećica

Authors
  1. Goran Djanković
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  2. Dragan Ðokić
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  3. Nikola Lelas
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  4. Ilija Vrećica
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Corresponding author

Correspondence to Goran Djanković.

Additional information

This work was partially supported by Ministry of Education, Science and Technological Development of Republic of Serbia, projects Nos. 174008 (G.Dj.), 174012 (D.Ð.), and 174034 (N.L. and I.V.).

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Djanković, G., Ðokić, D., Lelas, N. et al. On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*. Lith Math J 58, 1–14 (2018). https://doi.org/10.1007/s10986-018-9383-6

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  • DOI: https://doi.org/10.1007/s10986-018-9383-6

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