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Harmonic Maass-Jaco...
Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
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- Bringmann, Kathrin (författare)
- Universität zu Köln,University of Cologne
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- Raum, Martin, 1985 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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- Richter, Olav (författare)
- University of North Texas
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(creator_code:org_t)
- 2015
- 2015
- Engelska.
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Ingår i: Transactions of the American Mathematical Society. - 0002-9947 .- 1088-6850. ; 367:9, s. 6647-6670
- Relaterad länk:
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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