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Research Article | Open Access

Some identities involving Gauss sums

School of Mathematics, Northwest University, Xi'an, Shaanxi, China
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Abstract

We calculate several identities involving some Gauss sums of the 2 k -order character modulo an odd prime p by using the elementary and analytic methods, and finally give several exact and interesting formulae for them. The properties of the classical Gauss sums play an important role in the proof of this paper.

Keywords

2k-order characterthe classical Gauss sumsanalytic methodsidentitycalculating formula
CLC number: 11L10, 11L40

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AIMS Mathematics
Volume 7 Issue 2,
February 2022
Pages 3250-3257
DOI: 10.3934/math.2022180

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Cite this article:
Liu X. Some identities involving Gauss sums. AIMS Mathematics, 2022, 7(2): 3250-3257. https://doi.org/10.3934/math.2022180

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Received: 15 July 2021
Accepted: 18 November 2021
Published: 15 February 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)