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Harmonic Maass-Jaco...
Harmonic Maass-Jacobi forms of degree 1 with higher rank indices
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Conley, C. H. (author)
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- Westerholt-Raum, Martin, 1985 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics
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(creator_code:org_t)
- 2016
- 2016
- English.
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In: International Journal of Number Theory. - 1793-0421. ; 12:7, s. 1871-1897
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Abstract
Subject headings
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- We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi group, which for rank exceeding 1 is of order 4. In ranks exceeding 1, the notions of H-harmonicity and semi-holomorphicity are the same.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Semi-holomorphic Jacobi forms
- skew-holomorphic Jacobi forms
- invariant differential operators
- xi-
- complex quadratic fields
- casimir-operators
- modular-forms
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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