Shifted moments of cubic and quartic Dirichlet $L$-functions
Number Theory
2025-08-21 v1
Abstract
We establish upper bounds for shifted moments of cubic and quartic Dirichlet -functions under the generalized Riemann hypothesis. As an application, we prove bounds for moments of cubic and quartic Dirichlet character sums.
Keywords
Cite
@article{arxiv.2508.14534,
title = {Shifted moments of cubic and quartic Dirichlet $L$-functions},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2508.14534},
year = {2025}
}
Comments
10 pages