Shifted moments of cubic and quartic Dirichlet L-functions

Peng Gao; Liangyi Zhao

doi:10.1007/s00605-026-02207-0

Shifted moments of cubic and quartic Dirichlet L-functions

Peng Gao
, Liangyi Zhao^*

^*此作品的通讯作者

数学科学学院

School of Mathematics and Statistics
University of New South Wales

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We establish upper bounds for shifted moments of cubic and quartic Dirichlet L-functions under the generalized Riemann hypothesis. As applications, we prove bounds for moments of cubic and quartic Dirichlet character sums.

源语言	英语
页（从-至）	707-723
页数	17
期刊	Monatshefte fur Mathematik
卷	210
期	3-4
DOI	https://doi.org/10.1007/s00605-026-02207-0
出版状态	已出版 - 8月 2026

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10.1007/s00605-026-02207-0

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AB - We establish upper bounds for shifted moments of cubic and quartic Dirichlet L-functions under the generalized Riemann hypothesis. As applications, we prove bounds for moments of cubic and quartic Dirichlet character sums.

KW - Cubic Dirichlet characters

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KW - Upper bounds

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Shifted moments of cubic and quartic Dirichlet L-functions

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