Upper bounds for moments of Dirichlet L‐functions to a fixed modulus

Abstract We study the moment of central values of the family of Dirichlet ‐functions to a fixed prime modulus and establish sharp upper bounds for all real .

Authors

Liangyi Zhao (ORCID: https://orcid.org/0000-0002-4407-9238)
Peng Gao (ORCID: https://orcid.org/0000-0002-4474-6141)

Institutions

UNSW Sydney (AU)
Beihang University (CN)

Publication Details

Journal: Mathematika
Published: 2025-09-30
DOI: https://doi.org/10.1112/mtk.70052
Primary Topic: Analytic Number Theory Research
Type: article
Field-Weighted Citation Impact: 0.00

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article

Upper bounds for moments of Dirichlet L‐functions to a fixed modulus

Liangyi Zhao, Peng Gao

Sep 30, 2025

Mathematika

Analytic Number Theory Research

article

Upper bounds for moments of Dirichlet L‐functions to a fixed modulus

Liangyi Zhao, Peng Gao

September 30, 2025article en

Abstract

Abstract We study the moment of central values of the family of Dirichlet ‐functions to a fixed prime modulus and establish sharp upper bounds for all real .

MathematikaVol. 71(4)

UNSW Sydney (AU), Beihang University (CN)

Openalex Percentile: Top 66%

Analytic Number Theory Research

DOI Open Access PDF OpenAlex

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Upper bounds for moments of Dirichlet L‐functions to a fixed modulus — Liangyi Zhao, Peng Gao · Mathematika (2025) | TGRS Research Map | TGRS