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arXiv 2608.15773math.NT

二次特征和的大值

Large values of quadratic character sums

Zikang Dong, Ruihua Wang, Weijia Wang, Hao Zhang, Shengbo Zhao

中文总结 AI 辅助

本文在广义黎曼假设(GRH)下,研究二次狄利克雷特征和的大值,证明了短、长二次特征和的新欧米伽结果,改进了已有结论。

中文摘要 AI 辅助

本文研究二次狄利克雷特征和的大值,在广义黎曼假设(GRH)假设下,证明了短和与长二次特征和的新欧米伽结果,改进了此前的相关结论。

英文摘要

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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