On counting cuspidal automorphic representations for $\mathrm{GSp}(4)$

Manami Roy, Ralf Schmidt, Shaoyun Yi

We find the number $s_k(p,\Omega )$ of cuspidal automorphic representations of $\mathrm{GSp}(4,{\mathbb{A}}_{\mathbb{Q}})$ with trivial central character such that the archimedean componen…