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.
Regularized Pairings of Meromorphic Modular Forms and Theta Lifts
Weakly holomorphic modular forms in prime power levels of genus zero
Arithmetic properties of Fourier coefficients of meromorphic modular forms
![QR code for arXiv:1511.09018 [math.NT]](http://oss.arxitics.com/images/favicon.svg)