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arXiv · 2608.15773

Large values of quadratic character sums

Zikang Dong·Ruihua Wang·Weijia Wang·Hao Zhang·Shengbo Zhao
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Abstract

In this paper, we investigate large values of quadratic Dirichlet character sums. We prove new Omega results for both short and long quadratic character sums under the assumption of the Generalized Riemann Hypothesis (GRH), which improve the previous results.

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Zikang Dong, Ruihua Wang, Weijia Wang, Hao Zhang, Shengbo Zhao. 2026-08-16. Large values of quadratic character sums. https://arxiv.org/abs/2608.15773

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