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- Bringmann, Kathrin, et al.
(författare)
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Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
- 2015
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Ingår i: Transactions of the American Mathematical Society. - 0002-9947 .- 1088-6850. ; 367:9, s. 6647-6670
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Tidskriftsartikel (refereegranskat)abstract
- Real-analytic Jacobi forms play key roles in different areas of mathematics and physics, but a satisfactory theory of such Jacobi forms has been lacking. In this paper, we fill this gap by introducing a space of harmonic Maass-Jacobi forms with singularities which includes the real-analytic Jacobi forms from Zwegers’s PhD thesis. We provide several structure results for the space of such Jacobi forms, and we employ Zwegers’s μ-functions to establish a theta-like decomposition.
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