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arXiv:math/0603714 [math.NT]AbstractReferencesReviewsResources

Borcherds Forms and Generalizations of Singular Moduli

Jarad Schofer

Published 2006-03-30Version 1

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.

Categories: math.NT
Subjects: 11F12
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