Negative first moment of quadratic twists of $L$-functions
Number Theory
2025-02-24 v2
Abstract
We evaluate asymptotically the negative first moment at points larger than of the family of quadratic twists of automorphic -functions using multiple Dirichlet series under the generalized Riemann hypothesis and the Ramanujan-Petersson conjecture.
Keywords
Cite
@article{arxiv.2303.05055,
title = {Negative first moment of quadratic twists of $L$-functions},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2303.05055},
year = {2025}
}
Comments
10 pages