Multi angle Fourier coefficients of meromorphic Jacobi forms
Auteurs : Zwegers, Sander (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : Fourier coefficients of meromorphic Jacobi forms show up in, for example, the study of mock theta functions, quantum black holes and Kac-Wakimoto characters. In the case of positive index, it was previously shown that they are the holomorphic parts of vector-valued almost harmonic Maass forms. In this talk, we give an alternative characterization of these objects by applying the Maass lowering operator to the completions of the Fourier coefficients. Further, we'll also describe the relation of Fourier coefficients of negative index Jacobi forms to partial theta functions.Codes MSC :
11F27 - Theta series; Weil representation; theta correspondences
11F30 - Fourier coefficients of automorphic forms