Singular Jacobi forms

Yang, Jae-Hyun

doi:10.1090/S0002-9947-1995-1290733-2

Singular Jacobi forms
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by Jae-Hyun Yang PDF

Trans. Amer. Math. Soc. 347 (1995), 2041-2049 Request permission

Abstract:

We introduce the differential operator ${M_{g,h,\mathcal {M}}}$ characterizing singular Jacobi forms. We also characterize singular Jacobi forms by the weight of the associated rational representation of the general linear group. And we provide eigenfunctions of the differential operator ${M_{g,h,\mathcal {M}}}$.

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