Shifted moments of cubic and quartic Dirichlet $L$-functions

Fuente: arXiv
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Autores principales: Gao, Peng, Zhao, Liangyi
Formato: Preprint
Publicado: 2025
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author Gao, Peng
Zhao, Liangyi
author_facet Gao, Peng
Zhao, Liangyi
contents We establish upper bounds for shifted moments of cubic and quartic Dirichlet $L$-functions under the generalized Riemann hypothesis. As an application, we prove bounds for moments of cubic and quartic Dirichlet character sums.
format Preprint
id arxiv_https___arxiv_org_abs_2508_14534
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Shifted moments of cubic and quartic Dirichlet $L$-functions
Gao, Peng
Zhao, Liangyi
Number Theory
11L40, 11M06
We establish upper bounds for shifted moments of cubic and quartic Dirichlet $L$-functions under the generalized Riemann hypothesis. As an application, we prove bounds for moments of cubic and quartic Dirichlet character sums.
title Shifted moments of cubic and quartic Dirichlet $L$-functions
topic Number Theory
11L40, 11M06
url https://arxiv.org/abs/2508.14534