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Research Article | Open Access

One kind two-term exponential sums weighted by third-order character

Guohui Chen1, Wenpeng Zhang2( )
College of Mathematics and Statistics, Hainan Normal University, Hainan, China
Research Center for Number Theory and Its Applications, Northwest University, Xi'an, China
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Abstract

We give a correction to the previous paper of S. F. Cao and T. T. Wang (2021). Additionally, provide a conversion formula of the power mean of a certain exponential sums weighted by a Dirichlet character χ 3 and some of its applications.

Keywords

exponential sumsGauss sumspower meancalculating formula
CLC number: 11L03, 11L05

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9597-9607
DOI: 10.3934/math.2024469

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Cite this article:
Chen G, Zhang W. One kind two-term exponential sums weighted by third-order character. AIMS Mathematics, 2024, 9(4): 9597-9607. https://doi.org/10.3934/math.2024469

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Received: 05 January 2024
Revised: 18 February 2024
Accepted: 23 February 2024
Published: 15 April 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)