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A classification of...
A classification of harmonic weak Maass forms of half-integral weight
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- Alfes-Neumann, C. (författare)
- Universität Bielefeld,Bielefeld University
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- Raum, Martin (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2023
- 2023
- Engelska.
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Ingår i: Research in Number Theory. - 2522-0160 .- 2363-9555. ; 9:3
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Abstract
Ämnesord
Stäng
- We classify Harish-Chandra modules generated by the pullback to the metaplectic group of harmonic weak Maass forms with exponential growth allowed at the cusps. This extends work by Schulze-Pillot and parallels recent work by Bringmann-Kudla, who investigated the case of integral weights. We realize each of our cases via a regularized theta lift of an integral weight harmonic weak Maass form. Harish-Chandra modules in both integral and half-integral weight that occur need not be irreducible. Therefore, our display of the role that the theta lifting takes in this picture, we hope, contributes to an initial understanding of a theta correspondence for extensions of Harish-Chandra modules.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Primary: 11F12
- Secondary: 11F27
- 11F70
- modular-forms
- cm values
- coefficients
- formulas
- series
- traces
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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