4 problems

Let $c\in\mathbf R$, let $k_0\in\mathbf N$ be a scalar weight, and let $F\in M_k^n(\Gamma)$, where $\Gamma\subset\operatorname{Sp}_n(\mathbf Z)$ is a congruence subgroup. For all…

Positive-density refinement. A positive answer to the Fourier-coefficient growth conjecture holds when the growth condition is imposed on a set $S$ with $\delta_+(S)>0$. The paper…

Let $\rho$ be a representation and let $\widetilde{M}_n(k,\rho,\widetilde{\Gamma})$ denote the corresponding space of vector-valued Siegel modular forms. Vector-valued generalizati…

Let $1\leq r\leq n-1$, let $F\in M_k^n(\Gamma)$, and let $\mathcal M$ range over indices in $\operatorname{GL}_r(\mathbf Z)\backslash\Lambda_r$. For a fixed $r$, suppose that the F…