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arxiv: 1306.0068 · v1 · pith:FCZCS3TAnew · submitted 2013-06-01 · 🧮 math.NT

Characterizations of the Saito-Kurokawa lifting: a survey

classification 🧮 math.NT
keywords characterizationssaito-kurokawaformsliftsmodularsurveyadditionapply
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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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