Mean value theorems for short rational exponential sums

We obtain finite field analogues of a series of recent results on various mean value theorems for Weyl sums. Instead of the Vinogradov Mean Value Theorem, our results rest on the classical argument of Mordell, combined with several other ideas.

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Publication Details

Journal
Finite Fields and Their Applications
Published
2025-09-10
DOI
https://doi.org/10.1016/j.ffa.2025.102719
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Mean value theorems for short rational exponential sums

Igor E. Shparlinski, Doowon Koh
Finite Fields and Their Applications
Analytic Number Theory Research
article

Mean value theorems for short rational exponential sums

Igor E. Shparlinski, Doowon Koh
article en

Abstract

We obtain finite field analogues of a series of recent results on various mean value theorems for Weyl sums. Instead of the Vinogradov Mean Value Theorem, our results rest on the classical argument of Mordell, combined with several other ideas.

Finite Fields and Their ApplicationsVol. 110
Chungbuk National University (KR), UNSW Sydney (AU)
Openalex Percentile: Top 69%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
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Mean value theorems for short rational exponential sums — Igor E. Shparlinski, Doowon Koh · Finite Fields and Their Applications (2025) | TGRS Research Map | TGRS