Large values of quadratic character sums revisited
Number Theory
2026-01-01 v1
Abstract
We study large values of quadratic character sums with summation lengths exceeding the square root of the modulus. Assuming the Generalized Riemann Hypothesis, we obtain a new Omega result.
Cite
@article{arxiv.2512.24147,
title = {Large values of quadratic character sums revisited},
author = {Zikang Dong and Ruihua Wang and Weijia Wang and Hao Zhang},
journal= {arXiv preprint arXiv:2512.24147},
year = {2026}
}
Comments
7 pages