Borcherds Forms and Generalizations of Singular Moduli
Number Theory
2007-05-23 v1
Abstract
We give a factorization of averages of Borcherds forms over CM points associated to a quadratic form of signature (n,2). As a consequence of this result, we are able to state a theorem like that of Gross and Zagier about which primes can occur in this factorization. One remarkable phenomenon we observe is that the regularized theta lift of a weakly holomorphic modular form is always finite.
Cite
@article{arxiv.math/0603714,
title = {Borcherds Forms and Generalizations of Singular Moduli},
author = {Jarad Schofer},
journal= {arXiv preprint arXiv:math/0603714},
year = {2007}
}