Compositio Mathematica

Borcherds products associated with certain Thompson series

Chang Heon Kim a1
a1 Department of Mathematics, Seoul Women's University, 126 Kongnung 2 dong, Nowon-gu, Seoul, South Korea

Article author query
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We apply Zagier's result for the traces of singular moduli to construct Borcherds products in higher level cases.

(Received February 13 2002)
(Accepted June 5 2002)

Key Words: modular product; generalized Hecke operator; Jacobi form; half integral form.

Maths Classification

11F03; 11F11; 11F22; 11F50.