Character sums over Bohr sets
Number Theory
2019-08-15 v4
Abstract
We prove character sum estimates for additive Bohr subsets modulo a prime. These estimates are analogous to classical character sum bounds of Polya-Vinogradov and Burgess. These estimates are applied to obtain results on recurrence mod by special elements.
Cite
@article{arxiv.1409.7924,
title = {Character sums over Bohr sets},
author = {Brandon Hanson},
journal= {arXiv preprint arXiv:1409.7924},
year = {2019}
}
Comments
15 pages. To appear in the Canadian Mathematical Bulletin