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Research Article | Open Access

On the classical Gauss sums and their some new identities

Wenpeng Zhang, Xiaodan Yuan( )
School of Mathematics, Northwest University, Xi'an, Shaanxi, China
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Abstract

In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order 12 modulo an odd prime p, and obtain several new and interesting identities for them.

Keywords

the character of order 12the classical Gauss sumsanalytic methodsidentitycalculating formula
CLC number: 11L10, 11L40

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5860-5870
DOI: 10.3934/math.2022325

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Zhang W, Yuan X. On the classical Gauss sums and their some new identities. AIMS Mathematics, 2022, 7(4): 5860-5870. https://doi.org/10.3934/math.2022325

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Received: 23 October 2021
Revised: 06 January 2022
Accepted: 07 January 2022
Published: 15 April 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)