Twisted Traces of CM values of Harmonic Weak Maass Forms

Published 19 Aug 2011 in math.NT | (1108.3961v2)

Abstract: We show that the twisted traces of CM values of weak Maass forms of weight 0 are Fourier coefficients of vector valued weak Maass forms of weight 3/2. These results generalize work by Zagier on traces of singular moduli. We utilize a twisted version of the theta lift considered by Bruinier and Funke.

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