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Twisted Traces of CM values of Harmonic Weak Maass Forms

arXiv:1108.3961 · doi:10.1016/j.jnt.2012.10.008

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.

Some minor corrections, mostly typos. Added Journal reference