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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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    Titre
    • Real Quadratic Analogs of Traces of Singular Moduli
    Auteur
    • Duke, W.. UCLA Mathematics Department Box 951555, Los Angeles, CA 90095-1555, USA
    • Imamoḡlu, Ö.. ETH, Mathematics Department CH-8092, Zürich, Switzerland
    • Tóth, Á.. Eötvös Loránd University Department of Analysis, Budapest, Hungary
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • International Mathematics Research Notices, 2011, vol. 2011, no. 13, p. 3082-3094. Oxford University Press
    Autre version électronique
    Classification
    • Santé
    Identifiant OAI-PMH
    • oai:doc.rero.ch:289793
    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