Journal
RAMANUJAN JOURNAL
Volume 22, Issue 2, Pages 187-207Publisher
SPRINGER
DOI: 10.1007/s11139-009-9196-7
Keywords
Modular forms; Modular functions; Jacobi forms; Singular moduli
Categories
Funding
- Ministry of Education, Science and Technology [2009-0063182]
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Let p be a prime and f (z) = Sigma(n) a(n)q(n) be a weakly holomorphicmodular function for Gamma(0)*(p(2)) with a(0) = 0. We use Bruinier and Funke's work to find the generating series of modular traces of f (z) as Jacobi forms. And as an application we construct Borcherds products related to the Hauptmoduln j(p2)* for genus zero groups Gamma(0)*(p(2)).
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