An improved estimate of the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$

Nilanjan Bag; Rupam Barman

doi:10.7169/facm/1872

Abstract

Recently, Zhang and Lv find an asymptotic formula for the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$. In this article we prove an improvement of their asymptotic formula.

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Nilanjan Bag. Rupam Barman. "An improved estimate of the fourth power mean of the general $3$-dimensional Kloosterman sum mod $p$." Funct. Approx. Comment. Math. 64 (1) 39 - 45, March 2021. https://doi.org/10.7169/facm/1872

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Received: 27 February 2020; Revised: 7 July 2020; Published: March 2021

First available in Project Euclid: 13 November 2020

Digital Object Identifier: 10.7169/facm/1872

Subjects:

Primary: 11L05

Keywords: Asymptotic formula , Dirichlet character , the general $3$-dimensional Kloosterman sums

Abstract

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