English

Note on large quadratic character sums

Number Theory 2025-10-13 v1

Abstract

In this article, we investigate the conditional large values of quadratic Dirichlet character sums. We prove an Omega result for quadratic character sums under the assumption of the generalized Riemann hypothesis.

Keywords

Cite

@article{arxiv.2510.09005,
  title  = {Note on large quadratic character sums},
  author = {Zikang Dong and Yutong Song and Ruihua Wang and Shengbo Zhao},
  journal= {arXiv preprint arXiv:2510.09005},
  year   = {2025}
}

Comments

7 pages

R2 v1 2026-07-01T06:28:40.444Z