Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average

Pramath Anamby, Soumya Das

We formulate a precise conjecture about the size of the $L^{\infty }$-mass of the space of Jacobi forms on ${\mathbb{H}}_n\times {\mathbb{C}}^{g\times n}$ of matrix index $S$ of size $g$.…