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Article: On cycle integrals of weakly holomorphic modular forms
Title | On cycle integrals of weakly holomorphic modular forms |
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Authors | |
Issue Date | 2015 |
Citation | Mathematical Proceedings of the Cambridge Philosophical Society, 2015, v. 158 n. 3, p. 439-449 How to Cite? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/208221 |
ISSN | 2023 Impact Factor: 0.6 2023 SCImago Journal Rankings: 0.929 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Bringmann, K | en_US |
dc.contributor.author | Guerzhoy, P | en_US |
dc.contributor.author | Kane, BR | en_US |
dc.date.accessioned | 2015-02-23T08:08:43Z | - |
dc.date.available | 2015-02-23T08:08:43Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Mathematical Proceedings of the Cambridge Philosophical Society, 2015, v. 158 n. 3, p. 439-449 | en_US |
dc.identifier.issn | 0305-0041 | - |
dc.identifier.uri | http://hdl.handle.net/10722/208221 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.relation.ispartof | Mathematical Proceedings of the Cambridge Philosophical Society | en_US |
dc.title | On cycle integrals of weakly holomorphic modular forms | en_US |
dc.type | Article | en_US |
dc.identifier.email | Kane, BR: bkane@hku.hk | en_US |
dc.identifier.authority | Kane, BR=rp01820 | en_US |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1017/S0305004115000055 | - |
dc.identifier.scopus | eid_2-s2.0-84927693157 | - |
dc.identifier.hkuros | 242473 | en_US |
dc.identifier.volume | 158 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 439 | - |
dc.identifier.epage | 449 | - |
dc.identifier.eissn | 1469-8064 | - |
dc.identifier.isi | WOS:000352868300004 | - |
dc.identifier.issnl | 0305-0041 | - |