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.
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页码：61 / 77
页数：17
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