English

Twisted Traces of CM values of Harmonic Weak Maass Forms

Number Theory 2013-04-05 v2

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.

Keywords

Cite

@article{arxiv.1108.3961,
  title  = {Twisted Traces of CM values of Harmonic Weak Maass Forms},
  author = {Claudia Alfes and Stephan Ehlen},
  journal= {arXiv preprint arXiv:1108.3961},
  year   = {2013}
}

Comments

Some minor corrections, mostly typos. Added Journal reference