Rocky Mountain Journal of Mathematics

Survey Article: Characterizations of the Saito-Kurokawa lifting

David W. Farmer, Ameya Pitale, Nathan C. Ryan, and Ralf Schmidt

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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.

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Rocky Mountain J. Math., Volume 43, Number 6 (2013), 1747-1757.

First available in Project Euclid: 25 February 2014

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Farmer, David W.; Pitale, Ameya; Ryan, Nathan C.; Schmidt, Ralf. Survey Article: Characterizations of the Saito-Kurokawa lifting. Rocky Mountain J. Math. 43 (2013), no. 6, 1747--1757. doi:10.1216/RMJ-2013-43-6-1747.

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