Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus
Number Theory
2025-07-25 v1
Abstract
We evaluate the twisted four moment on the critical line of the family of Dirichlet -functions to a fixed prime power modulus, obtaining an asymptotic formula with a power saving error term.
Keywords
Cite
@article{arxiv.2507.18186,
title = {Twisted fourth moment of Dirichlet $L$-functions to a fixed modulus},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2507.18186},
year = {2025}
}
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32 pages