Bounds for moments of quadratic Dirichlet $L$-functions of prime-related moduli

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2021-05-08 DOI:10.4064/cm8650-1-2022

Peng Gao, Liangyi Zhao

引用次数: 4

Abstract

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

查看原文本刊更多论文

二次Dirichlet $L$-素数相关模函数矩的界

．本文研究了模为8p的二次Dirichlet L -函数族中心值的k阶矩，其中p的取值范围为奇数素数。在广义黎曼假设成立的前提下，我们为所有实k≥0时这些L值的k次幂矩建立了清晰的上界和下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.