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

Peng Gao; Liangyi Zhao

doi:10.1142/S1793042124500738

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

Peng Gao
, Liangyi Zhao^*

^*此作品的通讯作者

数学科学学院

University of New South Wales

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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

源语言	英语
页（从-至）	1493-1513
页数	21
期刊	International Journal of Number Theory
卷	20
期	6
DOI	https://doi.org/10.1142/S1793042124500738
出版状态	已出版 - 1 7月 2024

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10.1142/S1793042124500738

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title = "Moments of Dirichlet L -functions to a fixed modulus over function fields",

abstract = "In this paper, we establish the expected order of magnitude of the kth-moment of central values of the family of Dirichlet L-functions to a fixed prime modulus over function fields for all real k ≥ 0.",

keywords = "Dirichlet L -functions, function fields, lower bounds, moments, upper bounds",

author = "Peng Gao and Liangyi Zhao",

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T1 - Moments of Dirichlet L -functions to a fixed modulus over function fields

AU - Gao, Peng

AU - Zhao, Liangyi

PY - 2024/7/1

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N2 - In this paper, we establish the expected order of magnitude of the kth-moment of central values of the family of Dirichlet L-functions to a fixed prime modulus over function fields for all real k ≥ 0.

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

KW - Dirichlet L -functions

KW - function fields

KW - lower bounds

KW - moments

KW - upper bounds

UR - https://www.scopus.com/pages/publications/85189913403

U2 - 10.1142/S1793042124500738

DO - 10.1142/S1793042124500738

M3 - 文章

AN - SCOPUS:85189913403

SN - 1793-0421

VL - 20

SP - 1493

EP - 1513

JO - International Journal of Number Theory

JF - International Journal of Number Theory

IS - 6

ER -

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

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