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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.
Received: 2006-06-12
Revised: 2007-11-05
Published Online: 2009-02-24
Published in Print: 2009-April
© Walter de Gruyter Berlin · New York 2009
