Uniform sup-norm bounds on average for Siegel cusp forms

Jürg Kramer, Antareep Mandal

Let $\Gamma ⊊{\mathrm{Sp}}_n(\mathbb{R})$ be an arithmetic subgroup of the symplectic group ${\mathrm{Sp}}_n(\mathbb{R})$ acting on the Siegel upper half-space ${\mathbb{H}}_n$ of de…