2 problems

Let $\det^k\,\operatorname{Sym}^j$ denote an integral weight for holomorphic Siegel modular forms of genus $2$, and let $\det^{(j+5)/2}\,\operatorname{Sym}^{k-3}$ denote the corres…

Let $\pi$ be a generic cuspidal representation of $\overline{\operatorname{Sp}}_{2r}$, and let $n(\pi)$ denote the invariant introduced in the discussion of Whittaker coefficients.…