Fourth power mean of the general $s$-dimensional Kloosterman sum mod $p$

Nilanjan Bag; Anup Haldar

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arXiv · 2307.09438

Fourth power mean of the general $s$-dimensional Kloosterman sum mod $p$

Nilanjan Bag·Anup Haldar

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Abstract

In this article, we prove an asymptotic formula for the fourth power mean of a general $s$-dimensional hyper-Kloosterman sum. We find the number of solutions of certain congruence equations mod $p$ which play an integral part to prove our main result. We use estimates for character sums and analytic methods to prove our theorem.

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Nilanjan Bag, Anup Haldar. 2023-07-18. Fourth power mean of the general $s$-dimensional Kloosterman sum mod $p$. https://arxiv.org/abs/2307.09438

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