Mean value theorems for rational exponential sums

Fuente: arXiv
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Main Authors: Koh, Doowon, Shparlinski, Igor E.
Format: Preprint
Published: 2025
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author Koh, Doowon
Shparlinski, Igor E.
author_facet Koh, Doowon
Shparlinski, Igor E.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10933
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Mean value theorems for rational exponential sums
Koh, Doowon
Shparlinski, Igor E.
Number Theory
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.
title Mean value theorems for rational exponential sums
topic Number Theory
url https://arxiv.org/abs/2503.10933