Shimura lifts of weakly holomorphic modular forms

Yingkun Li, Shaul Zemel

Research output: Contribution to journalArticlepeer-review

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

All Science Journal Classification (ASJC) codes

  • General Mathematics

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