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Research Article | Open Access

On the fourth power mean of one special two-term exponential sums

Wenpeng Zhang, Yuanyuan Meng( )
Research Center for Number Theory and Its Applications, Northwest University, Xi'an, 710127, Shaanxi, China
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Abstract

The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.

Keywords

the two-term exponential sumsfourth power meanelementary methodcalculating formula
CLC number: 11L03, 11L05

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 8650-8660
DOI: 10.3934/math.2023434

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Zhang W, Meng Y. On the fourth power mean of one special two-term exponential sums. AIMS Mathematics, 2023, 8(4): 8650-8660. https://doi.org/10.3934/math.2023434

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Received: 17 August 2022
Revised: 14 January 2023
Accepted: 28 January 2023
Published: 15 April 2023
©2023 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)