id:"swepub:oai:gup.ub.gu.se/328032"
Search: id:"swepub:oai:gup.ub.gu.se/328032" > A classification of...
- 1 of 1
- Previous record
- Next record
- To hitlist
A classification of harmonic weak Maass forms of half-integral weight
-
- Alfes-Neumann, C. (author)
- Universität Bielefeld,Bielefeld University
-
- Raum, Martin (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
- (creator_code:org_t)
- 2023
- 2023
- English.
- In: Research in Number Theory. - 2522-0160 .- 2363-9555. ; 9:3
- Journal article (peer-reviewed)
Abstract
Subject headings
Close
- 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
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Primary: 11F12
- Secondary: 11F27
- 11F70
- modular-forms
- cm values
- coefficients
- formulas
- series
- traces
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
- Research in Number Theory (Search for host publication in LIBRIS)
To the university's database
- 1 of 1
- Previous record
- Next record
- To hitlist
Find more in SwePub
- By the author/editor
- Alfes-Neumann, C ...
- Raum, Martin
- About the subject
-
- NATURAL SCIENCES
- NATURAL SCIENCES
- and Mathematics
- Articles in the publication
- Research in Numb ...
- By the university
- University of Gothenburg
- Chalmers University of Technology
Search outside SwePub
- Extend your search to:
- Google Book Search
- Google Scholar
Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.
- Copyright © LIBRIS - National Library Systems
- LIBRIS.kb.se
