A Note on Fourier-Jacobi coefficients of Siegel modular forms

Published 2 Feb 2013 in math.NT | (1302.0410v5)

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].

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