A note on the growth of nearly holomorphic vector-valued Siegel modular forms

Ameya Pitale, Abhishek Saha, Ralf Schmidt

Let $F$ be a nearly holomorphic vector-valued Siegel modular form of weight $\rho$ with respect to some congruence subgroup of ${\mathrm{Sp}}_{2n}(\mathbb{Q})$. In this note, we prove th…