Uniform sup-norm bounds on average for cusp forms of higher weights

Joshua S. Friedman, Jay Jorgenson, Jurg Kramer

Let $\Gamma \subseteq {\mathrm{PSL}}_2(\mathbb{R})$ be a Fuchsian subgroup of the first kind acting on the upper half-plane $\mathbb{H}$. Consider the $d$-dimensional space of cusp forms…