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arXiv · 2512.24147

Large values of quadratic character sums revisited

Zikang Dong·Ruihua Wang·Weijia Wang·Hao Zhang
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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.

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Zikang Dong, Ruihua Wang, Weijia Wang, Hao Zhang. 2025-12-30. Large values of quadratic character sums revisited. https://arxiv.org/abs/2512.24147

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