4 problems

Rudnick–Sarnak mass equidistribution conjecture. As $k\to\infty$, the measures $\mu_{f_k}$ converge in the weak-$*$ sense to the uniform probability measure

Let $\Gamma\subseteq \operatorname{SL}_2(\operatorname{\mathbb{Z}})$ be a Fuchsian group of the first kind, let $f\in S_k(\Gamma)$ be a normalized Hecke cusp form, and let $\mu_f$…

Let $F$ be a Hecke--Siegel cusp form of weight $k$ on $\mathbb{H}^{(2)}$, let $g$ be a test function on $\mathrm{SL}_2(\mathbb{Z})\backslash\mathcal{P}(\mathbb{R})$, where…

Let $F$ be a Hecke--Siegel cusp form of weight $k$ on the Siegel upper half space $\mathbb{H}^{(2)}$, let $g$ be a test function on…