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Research Article | Open Access

The sixth power mean of one kind generalized two-term exponential sums and their asymptotic properties

Jin Zhang1, Xiaoxue Li2( )
School of Information Engineering, Xi'an University, Xi'an, Shaanxi, China
School of Science, Xi'an Aeronautical Institute, Xi'an, Shaanxi, China
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Abstract

The main aim of this article is using the elementary method and the number of the solutions of some congruence equations modulo an odd prime p, to study the calculating problem of the sixth power mean of one kind generalized two-term exponential sums, and give a sharp asymptotic formula for it.

Keywords

the generalized two-term exponential sumssixth power meanelementary methodasymptotic formula

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Electronic Research Archive
Volume 31 Issue 8,
August 2023
Pages 4579-4591
DOI: 10.3934/era.2023234

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Cite this article:
Zhang J, Li X. The sixth power mean of one kind generalized two-term exponential sums and their asymptotic properties. Electronic Research Archive, 2023, 31(8): 4579-4591. https://doi.org/10.3934/era.2023234

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Received: 19 January 2023
Revised: 13 June 2023
Accepted: 15 June 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)