Moments of Dirichlet L-functions to a fixed modulus over function fields

IF 0.5 3区数学 Q3 MATHEMATICS

International Journal of Number Theory Pub Date : 2024-04-06 DOI:10.1142/s1793042124500738

Peng Gao, Liangyi Zhao

引用次数: 0

Abstract

In this paper, we establish the expected order of magnitude of the $k$ th-moment of central values of the family of Dirichlet $L$ -functions to a fixed prime modulus over function fields for all real $k \geq 0$ .

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函数域上固定模的 Dirichlet L 函数矩

在本文中，我们建立了在所有实数 k≥0 的函数域上，对固定素模的 Dirichlet L 函数族中心值的第 k 次矩阵的预期数量级。

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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来源期刊

International Journal of Number Theory 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

4-8 weeks

期刊介绍： This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.