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Research Article | Open Access

On the character sums analogous to high dimensional Kloosterman sums

Jianghua Li( ), Xi Zhang
College of Sciences, Xi'an University of Technology, Xi'an, Shaanxi, China
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Abstract

The main purpose of this paper is using the properties of the classical Gauss sums and the analytic methods to study the computational problem of one kind of character sums analogous to high dimensional Kloosterman sums, and give some interesting identities for it.

Keywords

character sumshigh dimensional Kloosterman sumsanalytic methodidentity
CLC number: 11L03, 11L05, 11L40

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 294-305
DOI: 10.3934/math.2022020

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Li J, Zhang X. On the character sums analogous to high dimensional Kloosterman sums. AIMS Mathematics, 2022, 7(1): 294-305. https://doi.org/10.3934/math.2022020

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Received: 11 July 2021
Accepted: 16 September 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)