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Article: On cycle integrals of weakly holomorphic modular forms

TitleOn cycle integrals of weakly holomorphic modular forms
Authors
Issue Date2015
Citation
Mathematical Proceedings of the Cambridge Philosophical Society, 2015, v. 158 n. 3, p. 439-449 How to Cite?
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

 

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.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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
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.hkuros242473en_US
dc.identifier.volume158-
dc.identifier.issue3-
dc.identifier.spage439-
dc.identifier.epage449-

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