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Article: Secord-order cusp forms and mixed mock modular forms

TitleSecord-order cusp forms and mixed mock modular forms
Authors
Bringmann, KKane, B
KeywordsHarmonic Maass forms
Mixed mock modular forms
Modular forms
Poincaré series
Second-order modular forms
Issue Date2013
Citation
Ramanujan Journal, 2013, v. 31 n. 1-2, p. 147-161 How to Cite?
DOI: http://dx.doi.org/10.1007/s11139-012-9408-4
AbstractIn 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 Identifierhttp://hdl.handle.net/10722/192203
ISSN
1382-4090
2023 Impact Factor: 0.6
2023 SCImago Journal Rankings: 0.712
ISI Accession Number ID
WOS:000318622800012

 

DC FieldValueLanguage
dc.contributor.authorBringmann, Ken_US
dc.contributor.authorKane, Ben_US
dc.date.accessioned2013-10-23T09:27:19Z-
dc.date.available2013-10-23T09:27:19Z-
dc.date.issued2013en_US
dc.identifier.citationRamanujan Journal, 2013, v. 31 n. 1-2, p. 147-161en_US
dc.identifier.issn1382-4090en_US
dc.identifier.urihttp://hdl.handle.net/10722/192203-
dc.description.abstractIn 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.languageengen_US
dc.relation.ispartofRamanujan Journalen_US
dc.subjectHarmonic Maass forms-
dc.subjectMixed mock modular forms-
dc.subjectModular forms-
dc.subjectPoincaré series-
dc.subjectSecond-order modular forms-
dc.titleSecord-order cusp forms and mixed mock modular formsen_US
dc.typeArticleen_US
dc.description.naturepostprint-
dc.identifier.doi10.1007/s11139-012-9408-4en_US
dc.identifier.scopuseid_2-s2.0-84876996470en_US
dc.identifier.volume31en_US
dc.identifier.issue1-2en_US
dc.identifier.spage147en_US
dc.identifier.epage161en_US
dc.identifier.isiWOS:000318622800012-
dc.identifier.issnl1382-4090-

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