Open Access
2013 Survey Article: Characterizations of the Saito-Kurokawa lifting
David W. Farmer, Ameya Pitale, Nathan C. Ryan, Ralf Schmidt
Rocky Mountain J. Math. 43(6): 1747-1757 (2013). DOI: 10.1216/RMJ-2013-43-6-1747

Abstract

There are a variety of characterizations of Saito-Kurokawa lifts from elliptic modular forms to Siegel modular forms of degree~2. In addition to giving a survey of known characterizations, we apply a recent result of Weissauer to provide a number of new and simpler characterizations of Saito-Kurokawa lifts.

Citation

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David W. Farmer. Ameya Pitale. Nathan C. Ryan. Ralf Schmidt. "Survey Article: Characterizations of the Saito-Kurokawa lifting." Rocky Mountain J. Math. 43 (6) 1747 - 1757, 2013. https://doi.org/10.1216/RMJ-2013-43-6-1747

Information

Published: 2013
First available in Project Euclid: 25 February 2014

zbMATH: 1284.11084
MathSciNet: MR3178443
Digital Object Identifier: 10.1216/RMJ-2013-43-6-1747

Rights: Copyright © 2013 Rocky Mountain Mathematics Consortium

Vol.43 • No. 6 • 2013
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