Survey Article: Characterizations of the Saito-Kurokawa Lifting
Rocky Mountain Journal of Mathematics
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.
Farmer, David W.; Pitale, Ameya; Ryan, Nathan C.; and Schmidt, Ralf. "Survey Article: Characterizations of the Saito-Kurokawa Lifting." Rocky Mountain Journal of Mathematics 43, no. 6 (2013) : 1747-1757.