DC Field | Value | Language |
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dc.contributor.author | Park, J | - |
dc.date.accessioned | 2016-04-01T02:26:12Z | - |
dc.date.available | 2016-04-01T02:26:12Z | - |
dc.date.created | 2011-02-21 | - |
dc.date.issued | 2010-03 | - |
dc.identifier.issn | 0025-2611 | - |
dc.identifier.other | 2010-OAK-0000022725 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/25127 | - |
dc.description.abstract | The classical Shintani map (Shintani, Nagoya Math J 58:83-126, 1975) is the Hecke-equivariant map from the space of cusp forms of integral weight to the space of cusp forms of half-integral weight. In this paper, we will construct a p-adic Hecke-equivariant overconvergent Shintani lifting, for finite slope overconvergent modular forms (Coleman family), which interpolates the classical Shintani lifting p-adically, generalizing the result of G. Stevens in the case of slope 0 modular forms (Hida family) in (Stevens, Contemporary Mathematics, vol 174, 1994) (see the Theorems 3.9 and 3.11). In consequence, we get a formal q-expansion I similar to whose q-coefficients are in an overconvergent distribution ring, which can be thought of p-adic analytic family of overconvergent modular forms of half-integral weight, since the specializations of I similar to at the arithmetic weights are the classical cusp forms of half-integral weight (see the Theorem 4.20). Also the explicit description of Hecke operators on I similar to will be given. | - |
dc.description.statementofresponsibility | X | - |
dc.language | English | - |
dc.publisher | Springer-Verlag | - |
dc.relation.isPartOf | MANUSCRIPTA MATHEMATICA | - |
dc.subject | VALUES | - |
dc.title | p-adic family of half-integral weight modular forms via overconvergent Shintani lifting | - |
dc.type | Article | - |
dc.contributor.college | 수학과 | - |
dc.identifier.doi | 10.1007/S00229-009-0323-Y | - |
dc.author.google | Park, J | - |
dc.relation.volume | 131 | - |
dc.relation.issue | 3-4 | - |
dc.relation.startpage | 355 | - |
dc.relation.lastpage | 384 | - |
dc.contributor.id | 10692589 | - |
dc.relation.journal | MANUSCRIPTA MATHEMATICA | - |
dc.relation.index | SCI급, SCOPUS 등재논문 | - |
dc.relation.sci | SCI | - |
dc.collections.name | Journal Papers | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | MANUSCRIPTA MATHEMATICA, v.131, no.3-4, pp.355 - 384 | - |
dc.identifier.wosid | 000274386300005 | - |
dc.date.tcdate | 2019-02-01 | - |
dc.citation.endPage | 384 | - |
dc.citation.number | 3-4 | - |
dc.citation.startPage | 355 | - |
dc.citation.title | MANUSCRIPTA MATHEMATICA | - |
dc.citation.volume | 131 | - |
dc.contributor.affiliatedAuthor | Park, J | - |
dc.identifier.scopusid | 2-s2.0-77949776175 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.wostc | 5 | - |
dc.description.scptc | 5 | * |
dc.date.scptcdate | 2018-05-121 | * |
dc.type.docType | Article | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
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