Traces of singular values and Borcherds products
Number Theory
2007-05-23 v2
Abstract
Let be a prime for which the congruence group is of genus zero, and be the corresponding Hauptmodul. Let be a nearly holomorphic modular form of weight 1/2 on which satisfies some congruence condition on its Fourier coefficients. We interpret as a vector valued modular form. Applying Borcherds lifting of vector valued modular forms we construct infinite products associated to and extend Zagier's trace formula for singular values of . Further we investigate the twisted traces of sigular values of and construct Borcherds products related to them.
Cite
@article{arxiv.math/0305183,
title = {Traces of singular values and Borcherds products},
author = {Chang Heon Kim},
journal= {arXiv preprint arXiv:math/0305183},
year = {2007}
}
Comments
21 pages