BOUNDS FOR MOMENTS OF QUADRATIC DIRICHLET L-FUNCTIONS OF PRIME-RELATED MODULI

被引：3

作者：

Gao, Peng ^{[1
]}

Zhao, Liangyi ^{[2
]}

机构：

[1] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China

[2] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

COLLOQUIUM MATHEMATICUM | 2023年 / 171卷 / 01期

关键词：

moments; quadratic Dirichlet L-functions; prime moduli; lower bounds; upper bounds; ZETA;

D O I：

10.4064/cm8650-1-2022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the kth moment of central values of the family of quadratic Dirichlet L-functions of moduli 8p, with p ranging over odd primes. Assuming the truth of the generalized Riemann hypothesis, we establish sharp upper and lower bounds for the kth power moment of these L-values for all real k >= 0.

引用

页码：61 / 77

页数：17

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