Local mean value estimates for Weyl sums
Number Theory
2023-03-22 v1 Classical Analysis and ODEs
Abstract
We obtain new estimates - both upper and lower bounds - on the mean values of the Weyl sums over a small box inside of the unit torus. In particular, we refine recent conjectures of C. Demeter and B. Langowski (2022), and improve some of their results.
Cite
@article{arxiv.2303.11913,
title = {Local mean value estimates for Weyl sums},
author = {Julia Brandes and Changhao Chen and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:2303.11913},
year = {2023}
}
Comments
36 pages,3 figures