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Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Separators of Siegel modular forms of degree two

Author(s): Bernhard Heim
Journal: Proc. Amer. Math. Soc. 136 (2008), 4167-4173.
MSC (2000): Primary 11Fxx
Posted: June 26, 2008
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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: 10.1090/S0002-9939-08-09597-X
PII: S 0002-9939(08)09597-X
Received by editor(s): November 8, 2007
Posted: June 26, 2008
Communicated by: Wen-Ching Winnie Li
Copyright of article: Copyright 2008, Bernhard Heim


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