Identities for Traces of Singular Moduli
نویسندگان
چکیده
Abstract. Generalizing work of Zagier, in an important recent paper Bruinier and Funke prove that the generating functions for traces of singular values of many modular functions are weight 3 2 modular forms. Using facts about half-integral weight modular forms, we obtain identities relating traces of singular moduli for modular functions of level p and 1. These follow from a general result relating coefficients of certain weakly holomorphic weight 3 2 modular forms of level 4p to Zagier’s traces of singular moduli.
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تاریخ انتشار 2005