Mixed moments of $\rm GL(2)$ and symmetric square $L$-functions
Number Theory
2024-04-05 v2
Abstract
In this paper, we prove asymptotic formulas of mixed moments of and its symmetric square -functions for both Hecke--Maass cusp forms and holomorphic Hecke eigenforms in short intervals. As an application, we prove quantitative simultaneous non-vanishing of central values of these -functions.
Keywords
Cite
@article{arxiv.2403.08324,
title = {Mixed moments of $\rm GL(2)$ and symmetric square $L$-functions},
author = {Bingrong Huang and Liangxun Li},
journal= {arXiv preprint arXiv:2403.08324},
year = {2024}
}
Comments
25 pages. Comments welcome!