Fourth power mean of the general $s$-dimensional Kloosterman sum mod $p$
Number Theory
2023-07-19 v1
Abstract
In this article, we prove an asymptotic formula for the fourth power mean of a general -dimensional hyper-Kloosterman sum. We find the number of solutions of certain congruence equations mod which play an integral part to prove our main result. We use estimates for character sums and analytic methods to prove our theorem.
Keywords
Cite
@article{arxiv.2307.09438,
title = {Fourth power mean of the general $s$-dimensional Kloosterman sum mod $p$},
author = {Nilanjan Bag and Anup Haldar},
journal= {arXiv preprint arXiv:2307.09438},
year = {2023}
}
Comments
18 pages. Comments are welcome