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

2025/04/24 by Peng Gao, Liangyi Zhao, Gao, Peng +1 · 2 citations
Mathematics · #11M06 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2504.17905

openalex publication_date 2025/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the 2k-th moment of central values of the family of Dirichlet L-functions to a fixed prime modulus and establish sharp upper bounds for all real k ∈ [0,2].

Cited by

• The mollified fourth moment of Dirichlet L-functions
• Twisted fourth moment of Dirichlet L-functions to a fixed modulus

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