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arXiv · 2508.16967

Quadratic character sums with multiplicative coefficients

Zikang Dong·Zhonghua Li·Yutong Song·Shengbo Zhao
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Abstract

In this article, we study extreme values of quadratic character sums with multiplicative coefficients $\sum_{n \le N}f(n)\chi_d(n)$. For a positive number $N$ within a suitable range, we employ the resonance method to establish a conditional $\Omega$-result.

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Zikang Dong, Zhonghua Li, Yutong Song, Shengbo Zhao. 2025-08-23. Quadratic character sums with multiplicative coefficients. https://arxiv.org/abs/2508.16967

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