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Article: Secord-order cusp forms and mixed mock modular forms
Title | Secord-order cusp forms and mixed mock modular forms |
---|---|
Authors | |
Keywords | Harmonic Maass forms Mixed mock modular forms Modular forms Poincaré series Second-order modular forms |
Issue Date | 2013 |
Citation | Ramanujan Journal, 2013, v. 31 n. 1-2, p. 147-161 How to Cite? |
Abstract | In this paper, we consider the space of second order cusp forms. We determine that this space is precisely the same as a certain subspace of mixed mock modular forms. Based upon Poincaré series of Diamantis and O'Sullivan (Trans. Am. Math. Soc. 360:5629-5666, 2008) which span the space of second order cusp forms, we construct Poincaré series which span a natural (more general) subspace of mixed mock modular forms. © 2012 Springer Science+Business Media, LLC. |
Persistent Identifier | http://hdl.handle.net/10722/192203 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.712 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bringmann, K | en_US |
dc.contributor.author | Kane, B | en_US |
dc.date.accessioned | 2013-10-23T09:27:19Z | - |
dc.date.available | 2013-10-23T09:27:19Z | - |
dc.date.issued | 2013 | en_US |
dc.identifier.citation | Ramanujan Journal, 2013, v. 31 n. 1-2, p. 147-161 | en_US |
dc.identifier.issn | 1382-4090 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/192203 | - |
dc.description.abstract | In this paper, we consider the space of second order cusp forms. We determine that this space is precisely the same as a certain subspace of mixed mock modular forms. Based upon Poincaré series of Diamantis and O'Sullivan (Trans. Am. Math. Soc. 360:5629-5666, 2008) which span the space of second order cusp forms, we construct Poincaré series which span a natural (more general) subspace of mixed mock modular forms. © 2012 Springer Science+Business Media, LLC. | - |
dc.language | eng | en_US |
dc.relation.ispartof | Ramanujan Journal | en_US |
dc.subject | Harmonic Maass forms | - |
dc.subject | Mixed mock modular forms | - |
dc.subject | Modular forms | - |
dc.subject | Poincaré series | - |
dc.subject | Second-order modular forms | - |
dc.title | Secord-order cusp forms and mixed mock modular forms | en_US |
dc.type | Article | en_US |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s11139-012-9408-4 | en_US |
dc.identifier.scopus | eid_2-s2.0-84876996470 | en_US |
dc.identifier.volume | 31 | en_US |
dc.identifier.issue | 1-2 | en_US |
dc.identifier.spage | 147 | en_US |
dc.identifier.epage | 161 | en_US |
dc.identifier.isi | WOS:000318622800012 | - |
dc.identifier.issnl | 1382-4090 | - |