Survey article: Characterizations of the Saito-Kurokawa lifting

Authors

Nathan C. Ryan, Bucknell UniversityFollow
David W. Farmer, American Institute of MathematicsFollow
Ameya Pitale, University of Oklahoma Norman Campus
Ralf Schmidt, University of Oklahoma Norman Campus

Publication Date

2013

Description

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.

Journal

Rocky Mountain Journal of Mathematics

Volume

43

Issue

6

First Page

1747

Last Page

1757

Department

Mathematics

Recommended Citation

Ryan, Nathan C.; Farmer, David W.; Pitale, Ameya; and Schmidt, Ralf. "Survey article: Characterizations of the Saito-Kurokawa lifting." Rocky Mountain Journal of Mathematics (2013) : 1747-1757.