Article ID Journal Published Year Pages File Type
4595658 Journal of Number Theory 2006 14 Pages PDF
Abstract

We give a new proof of some identities of Zagier relating traces of singular moduli to the coefficients of certain weakly holomorphic half integral weight modular forms. These identities play a central role in Zagier's work on the infinite product isomorphism introduced by Borcherds. In addition, we derive a simple expression for writing twisted traces of singular moduli as infinite series.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory