Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function Fields

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.

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Publication Details

Journal
Hardy-Ramanujan Journal
Published
2025-04-24
DOI
https://doi.org/10.46298/hrj.2025.14247
Citations
1
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
5.38

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article

Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function Fields

Peng Gao, Liangyi Zhao
1 citations
Hardy-Ramanujan Journal
Analytic Number Theory Research
5.38
article

Upper Bounds for Shifted Moments of Quadratic Dirichlet L-Functions over Function Fields

Peng Gao, Liangyi Zhao
article en
1 citations

Abstract

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.

Hardy-Ramanujan Journal
UNSW Sydney (AU), Beihang University (CN)
University of New South Wales, National Natural Science Foundation of China
Openalex Percentile: Top 8%
Analytic Number Theory Research
5.38
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