A note on Sarnak's density hypothesis for $\textrm{Sp}_4$
Number Theory
2024-07-01 v2
Abstract
In this note we prove Sarnak's (spherical) density hypothesis for the full discrete spectrum of the quotients , where are paramodular groups with square-free level . To derive this estimate we upgrade a density estimate established via the (pre)-Kuznetsov formula, which only accounts for the generic part, using Arthur's parametrization of the discrete spectrum.
Keywords
Cite
@article{arxiv.2305.04791,
title = {A note on Sarnak's density hypothesis for $\textrm{Sp}_4$},
author = {Edgar Assing},
journal= {arXiv preprint arXiv:2305.04791},
year = {2024}
}