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Article: On cycle integrals of weakly holomorphic modular forms

TitleOn cycle integrals of weakly holomorphic modular forms
Authors
Bringmann, KGuerzhoy, PKane, BR
Issue Date2015
Citation
Mathematical Proceedings of the Cambridge Philosophical Society, 2015, v. 158 n. 3, p. 439-449 How to Cite?
DOI: http://dx.doi.org/10.1017/S0305004115000055
AbstractIn this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms. We use these results to define a Shintani lift from integral weight weakly holomorphic modular forms to half-integral weight holomorphic modular forms.
Persistent Identifierhttp://hdl.handle.net/10722/208221
ISSN
0305-0041
2021 Impact Factor: 0.949
2020 SCImago Journal Rankings: 0.781
ISI Accession Number ID
WOS:000352868300004

 

DC FieldValueLanguage
dc.contributor.authorBringmann, Ken_US
dc.contributor.authorGuerzhoy, Pen_US
dc.contributor.authorKane, BRen_US
dc.date.accessioned2015-02-23T08:08:43Z-
dc.date.available2015-02-23T08:08:43Z-
dc.date.issued2015-
dc.identifier.citationMathematical Proceedings of the Cambridge Philosophical Society, 2015, v. 158 n. 3, p. 439-449en_US
dc.identifier.issn0305-0041-
dc.identifier.urihttp://hdl.handle.net/10722/208221-
dc.description.abstractIn this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms. We use these results to define a Shintani lift from integral weight weakly holomorphic modular forms to half-integral weight holomorphic modular forms.en_US
dc.languageengen_US
dc.relation.ispartofMathematical Proceedings of the Cambridge Philosophical Societyen_US
dc.titleOn cycle integrals of weakly holomorphic modular formsen_US
dc.typeArticleen_US
dc.identifier.emailKane, BR: bkane@hku.hken_US
dc.identifier.authorityKane, BR=rp01820en_US
dc.description.naturepostprint-
dc.identifier.doi10.1017/S0305004115000055-
dc.identifier.scopuseid_2-s2.0-84927693157-
dc.identifier.hkuros242473en_US
dc.identifier.volume158-
dc.identifier.issue3-
dc.identifier.spage439-
dc.identifier.epage449-
dc.identifier.eissn1469-8064-
dc.identifier.isiWOS:000352868300004-
dc.identifier.issnl0305-0041-

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