Separators of Siegel modular forms of degree two

Heim, Bernhard

doi:10.1090/S0002-9939-08-09597-X

Separators of Siegel modular forms of degree two
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by Bernhard Heim

Proc. Amer. Math. Soc. 136 (2008), 4167-4173

DOI: https://doi.org/10.1090/S0002-9939-08-09597-X

Published electronically: 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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