Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595658 | Journal of Number Theory | 2006 | 14 Pages |
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