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Twisted traces of singular values
Authors:Chang Heon Kim
Affiliation:(1) Department of Mathematics, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul, 133-791, Korea
Abstract:Let p be a prime for which the congruence group Γ0(p)* is of genus zero, and j p * be the corresponding Hauptmodul. We investigate the twisted traces of singular values of j p * and construct infinite products related to them. This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF-2006-331-C00006).
Keywords:Modular function  Twisted trace  Modular form  Jacobi form  Modular group  Congruence subgroup  Hauptmodul  Singular values
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