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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Separators of Siegel modular forms of degree two


Author: Bernhard Heim
Journal: Proc. Amer. Math. Soc. 136 (2008), 4167-4173
MSC (2000): Primary 11Fxx
Published electronically: June 26, 2008
MathSciNet review: 2431029
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that cuspidal Siegel modular forms of degree two and weight $ 2k$ are uniquely determined by their Fourier coefficients on small subsets of matrices of content one. This generalizes results of Breulmann, Kohnen, Katsurada, Scharlau and Walling. We give applications to the space of Saito-Kurokawa lifts.


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Additional Information

Bernhard Heim
Affiliation: Max-Planck Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Email: heim@mpim-bonn.mpg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09597-X
PII: S 0002-9939(08)09597-X
Received by editor(s): November 8, 2007
Published electronically: June 26, 2008
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2008 Bernhard Heim