Shimura lifts of weakly holomorphic modular forms

Yingkun Li*, Shaul Zemel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show how to realize the Shimura lift of arbitrary level and character using the vector-valued theta lifts of Borcherds. Using the regularization of Borcherds’ lift we extend the Shimura lift to take weakly holomorphic modular forms of half-integral weight to meromorphic modular forms of even integral weight having poles at CM points.

Original languageAmerican English
Pages (from-to)37-61
Number of pages25
JournalMathematische Zeitschrift
Volume290
Issue number1-2
DOIs
StatePublished - 1 Oct 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer-Verlag GmbH Germany, part of Springer Nature.

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