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arXiv · 1306.0068

Characterizations of the Saito-Kurokawa lifting: a survey

David W. Farmer·Ameya Pitale·Nathan C. Ryan·Ralf Schmidt
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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.

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David W. Farmer, Ameya Pitale, Nathan C. Ryan, Ralf Schmidt. 2013-06-01. Characterizations of the Saito-Kurokawa lifting: a survey. https://arxiv.org/abs/1306.0068

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