Bounds for moments of Dirichlet L-functions to a fixed modulus

2021/02/27 by Peng Gao, Gao, Peng
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2103.00149

openalex publication_date 2021/02/27 · 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. We establish sharp lower bounds for all real k ≥ 0 and sharp upper bounds for k in the range 0 ≤ k ≤ 1.

Citations

• Integral moments of L-functions
• Lower bounds for moments of zeta and L-functions revisited
• The fourth moment of Dirichlet L-functions at the central value
• Sharp upper bounds for moments of quadratic Dirichlet L-functions

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