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Research Article | Open Access

The fourth power mean value of one kind two-term exponential sums

Jinmin Yu, Renjie Yuan, Tingting Wang( )
College of Science, Northwest A & F University, Yangling, Shaanxi, China
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Abstract

In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and give it a calculation formula or asymptotic formula in different conditions.

Keywords

the two-term exponential sumsthe fourth power meanGauss sums
CLC number: 11L03, 11L07

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 17045-17060
DOI: 10.3934/math.2022937

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Cite this article:
Yu J, Yuan R, Wang T. The fourth power mean value of one kind two-term exponential sums. AIMS Mathematics, 2022, 7(9): 17045-17060. https://doi.org/10.3934/math.2022937

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Received: 28 December 2021
Revised: 30 June 2022
Accepted: 11 July 2022
Published: 15 September 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)