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

Fuente: arXiv
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Autori principali: Gao, Peng, Zhao, Liangyi
Natura: Preprint
Pubblicazione: 2022
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author Gao, Peng
Zhao, Liangyi
author_facet Gao, Peng
Zhao, Liangyi
contents 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 $k \geq 0$.
format Preprint
id arxiv_https___arxiv_org_abs_2203_14458
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Moments of Dirichlet $L$-functions to a fixed modulus over function fields
Gao, Peng
Zhao, Liangyi
Number Theory
11M38, 11R59, 11T06
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 $k \geq 0$.
title Moments of Dirichlet $L$-functions to a fixed modulus over function fields
topic Number Theory
11M38, 11R59, 11T06
url https://arxiv.org/abs/2203.14458