Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts

Abstract

Using the amplification technique, we prove that `mass' of the pullback of the Saito-Kurokawa lift of a Hecke eigen form $g\in S_{2k}$ is bounded by $k^{1-\frac{1}{210}+\epsilon }$. This improves the previously known bound $k$ for this quantity.

Cited by in corpus (1)

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