Upper bounds for shifted moments of quadratic Dirichlet L-functions over function fields

Peng Gao; Liangyi Zhao

doi:10.46298/hrj.2025.14247

Upper bounds for shifted moments of quadratic Dirichlet L-functions over function fields

Peng Gao
, Liangyi Zhao

数学科学学院

University of New South Wales

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We establish bounds on shifted moments of families quadratic Dirichlet L-functions over function fields. These estimates are consistent with their conjectured orders of magnitude. As an application, we prove some bounds for moments of quadratic Dirichlet character sums over function fields.

源语言	英语
页（从-至）	92-106
页数	15
期刊	Hardy-Ramanujan Journal
卷	47
DOI	https://doi.org/10.46298/hrj.2025.14247
出版状态	已出版 - 2024

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KW - shifted moments

KW - upper bounds

UR - https://www.scopus.com/pages/publications/105005886774

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DO - 10.46298/hrj.2025.14247

M3 - 文章

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SN - 2804-7370

VL - 47

SP - 92

EP - 106

JO - Hardy-Ramanujan Journal

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Upper bounds for shifted moments of quadratic Dirichlet L-functions over function fields

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