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Shimura Lifts of Weakly Holomorphic Modular Forms (1511.09018v2)
Published 29 Nov 2015 in math.NT
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.
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