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- Alfes-Neumann, C.Universität Bielefeld,Bielefeld University (author)
A classification of harmonic weak Maass forms of half-integral weight
- Article/chapterEnglish2023
Publisher, publication year, extent ...
- 2023
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- LIBRIS-ID:oai:gup.ub.gu.se/328032
- https://gup.ub.gu.se/publication/328032URI
- https://doi.org/10.1007/s40993-023-00455-9DOI
- https://research.chalmers.se/publication/536300URI
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- Language:English
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Classification
Notes
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Primary: 11F12
- Secondary: 11F27
- 11F70
- modular-forms
- cm values
- coefficients
- formulas
- series
- traces
- Mathematics
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- Raum, MartinGothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology(Swepub:cth)raum (author)
- Universität BielefeldInstitutionen för matematiska vetenskaper (creator_code:org_t)
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- In:Research in Number Theory9:32522-01602363-9555
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