Large quadratic character sums
Number Theory
2025-09-10 v1
Abstract
In this article, we investigate conditional large values of quadratic Dirichlet character sums. We prove some Omega results of quadratic character sums under the assumption of the generalized Riemnn hypothesis, which are as sharp as previous results for all characters modulo a large prime.
Cite
@article{arxiv.2509.07651,
title = {Large quadratic character sums},
author = {Zikang Dong and Yanbin Zhang},
journal= {arXiv preprint arXiv:2509.07651},
year = {2025}
}
Comments
11 pages