Real Quadratic Analogs of Traces of Singular Moduli

Duke, W. ; Imamoḡlu, Ö. ; Tóth, Á.

In: International Mathematics Research Notices, 2011, vol. 2011, no. 13, p. 3082-3094

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    Summary
    In this paper, regularized Petersson inner products of certain weight weakly holomorphic (or harmonic) modular forms are expressed in terms of real quadratic analogs of traces of singular moduli. The proofs make use of the theory of weight mock-modular forms