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Research Article | Open Access

The generalized Kloosterman's sums and its fourth power mean

Junfeng Cui1, Li Wang2( )
Department of Mathematics, Longnan Teachers College, Longnan 742500, China
Research Center for Number Theory and Its Applications, Northwest University, Xi'an 710127, China
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Abstract

The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. Simultaneously, the work also provides a fresh and valuable approach for researching the related power mean problem.

Keywords

generalized Kloosterman's sumsfourth power meananalytic methodcalculating formula
CLC number: 11L03, 11L05

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26590-26599
DOI: 10.3934/math.20231359

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Cite this article:
Cui J, Wang L. The generalized Kloosterman's sums and its fourth power mean. AIMS Mathematics, 2023, 8(11): 26590-26599. https://doi.org/10.3934/math.20231359

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Received: 01 August 2023
Revised: 24 August 2023
Accepted: 29 August 2023
Published: 15 November 2023
©2023 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)