关于与定阶德里克特字符相关的 l 函数零点的注释

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2023-12-18 DOI:10.1017/s0004972723001156

C. C. CORRIGAN

引用次数: 0

摘要

我们利用狄利克特 L 函数的韦尔界，推导出与定阶狄利克特特征族相关的 L 函数的零密度估计。当 $\sigma $ 离临界线足够远时，这些结果改进了作者之前给出的约束。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A NOTE ON THE ZEROS OF L-FUNCTIONS ASSOCIATED TO FIXED-ORDER DIRICHLET CHARACTERS

We use the Weyl bound for Dirichlet L-functions to derive zero-density estimates for L-functions associated to families of fixed-order Dirichlet characters. The results improve on previous bounds given by the author when $\sigma $ is sufficiently distant from the critical line.

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society