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Fourier coefficients of meromorphic Jacobi forms

By Sander Zwegers

Also appears in collection : Automorphic forms: advances and applications / Formes automorphes: avancées et applications

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.

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Citation data

  • DOI 10.24350/CIRM.V.18769603
  • Cite this video Zwegers, Sander (27/05/2015). Fourier coefficients of meromorphic Jacobi forms. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18769603
  • URL https://dx.doi.org/10.24350/CIRM.V.18769603

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