Character sums estimates and an application to a problem of Balog
Number Theory
2020-04-07 v1 Combinatorics
Abstract
We prove new bounds for sums of multiplicative characters over sums of set with small doubling and applying this result we break the square--root barrier in a problem of Balog concerning products of differences in a field of prime order.
Cite
@article{arxiv.2004.01885,
title = {Character sums estimates and an application to a problem of Balog},
author = {Tomasz Schoen and Ilya D. Shkredov},
journal= {arXiv preprint arXiv:2004.01885},
year = {2020}
}
Comments
12 pages