Abstract
We generalize Borcherds’ construction of infinite products to higher level vector valued modular forms of Nebentypus. Then we obtain meromorphic modular functions for the orthogonal group whose zeros or poles lie on the Heegner divisors. The construction involves twisted Siegel theta functions and the singular theta integral.
Citation
Yusuke Kawai. "Borcherds products for higher level modular forms." J. Math. Kyoto Univ. 46 (2) 415 - 438, 2006. https://doi.org/10.1215/kjm/1250281785
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