Peng Gao ; Liangyi Zhao - Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function Fields

hrj:14247 - Hardy-Ramanujan Journal, April 24, 2025, Volume 47 - 2024 - https://doi.org/10.46298/hrj.2025.14247
Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function FieldsArticle

Authors: Peng Gao 1; Liangyi Zhao ORCID2

We establish sharp upper bounds on shifted moments of quadratic Dirichlet L-functions over function fields. As an application, we prove some bounds for moments of quadratic Dirichlet character sums over function fields.


Volume: Volume 47 - 2024
Published on: April 24, 2025
Accepted on: April 8, 2025
Submitted on: September 12, 2024
Keywords: quadratic Dirichlet character sums,quadratic Dirichlet L-functions,shifted moments,upper bounds,[MATH]Mathematics [math]

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