Hybrid power mean of 2kth power inversion of L-functions, trigonometric sums and general quartic Gauss sums

Shikha Singh; Jagmohan Tanti

doi:https://doi.org/10.14445/22315373/IJMTT-V66I9P521

International Journal of Mathematics Trends and Technology

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Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P521

Hybrid power mean of 2kth power inversion of L-functions, trigonometric sums and general quartic Gauss sums

Shikha Singh, Jagmohan Tanti

Abstract

In this paper we calculate the hybrid power mean of 2kth power inversion of L-functions, twisted trigonometric sums and general quartic Gauss sums. We also discuss its asymptotic formula with the help of the properties of Gauss sums and Dirichlet characters.

Keywords

Dirichlet L-functions, quartic Gauss sum, trigonometric sum, asymptotic formula.

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Citation :

Shikha Singh, Jagmohan Tanti, "Hybrid power mean of 2kth power inversion of L-functions, trigonometric sums and general quartic Gauss sums," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 176-191, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P521