Large quadratic character sums

Zikang Dong; Yanbin Zhang

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arXiv · 2509.07651

Large quadratic character sums

Zikang Dong·Yanbin Zhang

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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.

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Zikang Dong, Yanbin Zhang. 2025-09-09. Large quadratic character sums. https://arxiv.org/abs/2509.07651

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