A Note on Fourier-Jacobi coefficients of Siegel modular forms
arXiv:1302.0410
Abstract
Let F be a Siegel cusp form of weight k and genus n>1 with Fourier-Jacobi coefficients f_m. In this article, we estimate the growth of the Petersson norms of f_m, where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen in [5].
arXiv commentto appear in Archiv der Mathematik