The fourth power mean of the three–term exponential sums

By employing trigonometric sums and solving congruence equations, this paper explores the power mean of a specific class of high–order three–term exponential sums, and derives intriguing identities in the process. The findings presented in this paper offer insights into establishing the lower bound for these sums.

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Publication Details

Journal
Electronic Research Archive
Published
2025-01-01
DOI
https://doi.org/10.3934/era.2025197
Primary Topic
Analytic Number Theory Research
Type
article
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article

The fourth power mean of the three–term exponential sums

Guohui Chen, Xiaoge Liu
Electronic Research Archive
Analytic Number Theory Research
article

The fourth power mean of the three–term exponential sums

Guohui Chen, Xiaoge Liu
article en

Abstract

By employing trigonometric sums and solving congruence equations, this paper explores the power mean of a specific class of high–order three–term exponential sums, and derives intriguing identities in the process. The findings presented in this paper offer insights into establishing the lower bound for these sums.

Electronic Research ArchiveVol. 33(7)
Hainan Normal University (CN), Northwest University (CN)
Reduced inequalities
Openalex Percentile: Top 75%
Analytic Number Theory Research
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The fourth power mean of the three–term exponential sums — Guohui Chen, Xiaoge Liu · Electronic Research Archive (2025) | TGRS Research Map | TGRS