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Research Article | Open Access

The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums

Xue Han, Tingting Wang( )
College of Science, Northwest A&F University, Yangling, Shaanxi, China
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Abstract

This article applied the properties of character sums, quadratic character, and classical Gauss sums to study the calculations of the hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums. It also provided exact formulas for calculating these hybrid power means.

Keywords

two-term exponential sumscharacter sumsthe generalized Gauss sums
CLC number: 11L03, 11L05

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 3722-3739
DOI: 10.3934/math.2024183

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Cite this article:
Han X, Wang T. The hybrid power mean of the generalized Gauss sums and the generalized two-term exponential sums. AIMS Mathematics, 2024, 9(2): 3722-3739. https://doi.org/10.3934/math.2024183

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Received: 07 October 2023
Revised: 25 December 2023
Accepted: 03 January 2024
Published: 15 February 2024
©2024 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)