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Research Article | Open Access

The Gauss sums involving 24-order character and their recursive properties

Juanli Su1, Jiafan Zhang2( )
Department of Arts and Sciences, Yangling Vocational and Technical College, Yangling, Shaanxi, 712100, China
School of Mathematics, Northwest University, Xi'an, Shaanxi, 710127, China
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Abstract

The main purpose of this paper is to use elementary and analytic methods to study the calculating problem of one kind of Gauss sums and obtain an exact computational formula for it.

Keywords

one kind of Gauss sumselementary methodsanalytic methodscomputational formula
CLC number: 11L05, 11L40

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AIMS Mathematics
Volume 7 Issue 11,
November 2022
Pages 19641-19648
DOI: 10.3934/math.20221077

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Su J, Zhang J. The Gauss sums involving 24-order character and their recursive properties. AIMS Mathematics, 2022, 7(11): 19641-19648. https://doi.org/10.3934/math.20221077

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Received: 05 June 2022
Revised: 17 August 2022
Accepted: 31 August 2022
Published: 15 November 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)