Effective sup-norm bounds on average for cusp forms of even weight

Joshua S. Friedman, Jay Jorgenson, Jürg Kramer

Let $\Gamma \subset {\mathrm{PSL}}_2(\mathbb{R})$ be a Fuchsian subgroup of the first kind acting on the upper half-plane $\mathbb{H}$. Consider the $d_{2k}$-dimensional space of cusp for…