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arXiv:1302.0410 [math.NT]AbstractReferencesReviewsResources

A Note on Fourier-Jacobi coefficients of Siegel modular forms

Sanoli Gun, Narasimha Kumar

Published 2013-02-02, updated 2013-10-24Version 5

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].

Comments: to appear in Archiv der Mathematik
Journal: Archiv der Mathematik 101 (2013), no. 6, 519-524
Categories: math.NT
Subjects: 11F46, 11F50, 11F30
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