English

Characterizations of the Saito-Kurokawa lifting: a survey

Number Theory 2013-06-04 v1

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.

Keywords

Cite

@article{arxiv.1306.0068,
  title  = {Characterizations of the Saito-Kurokawa lifting: a survey},
  author = {David W. Farmer and Ameya Pitale and Nathan C. Ryan and Ralf Schmidt},
  journal= {arXiv preprint arXiv:1306.0068},
  year   = {2013}
}