Characterizations of the Saito-Kurokawa lifting: a survey

2013/06/01 by David W. Farmer, Ameya Pitale, Farmer, David W. +5
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1306.0068

arxiv created 2013/06/01 · arxiv updated 2013/06/04

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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