Asymptotic moment of fourth power twisted Kloosterman sum

In this paper we study asymptotic moment of fourth power twisted Kloosterman sum. We write this moment as weighted sums of Hurwitz class numbers and to obtain the asymptotic moment formula we use the theory of harmonic Maass forms and Mock modular forms. As a result, we further obtain asymptotic ave...

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Bibliographic Details
Main Author Saikia, Neelam
Format Journal Article
LanguageEnglish
Published 01.10.2024
Subjects
Mathematics - Number Theory
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Summary:In this paper we study asymptotic moment of fourth power twisted Kloosterman sum. We write this moment as weighted sums of Hurwitz class numbers and to obtain the asymptotic moment formula we use the theory of harmonic Maass forms and Mock modular forms. As a result, we further obtain asymptotic averages of certain families of hypergeometric functions over large finite fields.
DOI:10.48550/arxiv.2410.00646