Mean value theorems for rational exponential sums
Number Theory
2025-03-17 v1
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.
Keywords
Cite
@article{arxiv.2503.10933,
title = {Mean value theorems for rational exponential sums},
author = {Doowon Koh and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:2503.10933},
year = {2025}
}