DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jin, Seokho | ko |
dc.contributor.author | Lim, Subong | ko |
dc.date.accessioned | 2015-04-08T05:05:26Z | - |
dc.date.available | 2015-04-08T05:05:26Z | - |
dc.date.created | 2015-03-10 | - |
dc.date.created | 2015-03-10 | - |
dc.date.issued | 2015-02 | - |
dc.identifier.citation | TAIWANESE JOURNAL OF MATHEMATICS, v.19, no.1, pp.101 - 122 | - |
dc.identifier.issn | 1027-5487 | - |
dc.identifier.uri | http://hdl.handle.net/10203/195615 | - |
dc.description.abstract | Asai and Friedberg studied the imaginary Doi-Naganuma lifting which sends elliptic modular forms to automorphic forms over an imaginary quadratic field. In this paper we extend this lifting to weak Maass forms by using regularized integral. We construct an automorphic object with singularities on the quadratic upper half-plane H-1 by the regularized theta lifting of a weak Maass form. We also give the convergence region and describe its singularity type. Finally we compute the Fourier coefficients of the lifted form explicitly and present the case of Poincare series as an example. | - |
dc.language | English | - |
dc.publisher | MATHEMATICAL SOC REP CHINA | - |
dc.subject | WEAK MAASS FORMS | - |
dc.subject | MODULAR-FORMS | - |
dc.subject | AUTOMORPHIC-FORMS | - |
dc.subject | DIRICHLET SERIES | - |
dc.subject | CUSP FORMS | - |
dc.title | ON THE REGULARIZED IMAGINARY DOI-NAGANUMA LIFTING | - |
dc.type | Article | - |
dc.identifier.wosid | 000348590700007 | - |
dc.identifier.scopusid | 2-s2.0-84921835231 | - |
dc.type.rims | ART | - |
dc.citation.volume | 19 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 101 | - |
dc.citation.endingpage | 122 | - |
dc.citation.publicationname | TAIWANESE JOURNAL OF MATHEMATICS | - |
dc.contributor.nonIdAuthor | Lim, Subong | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Modular form | - |
dc.subject.keywordAuthor | Imaginary Doi-Naganuma lifting | - |
dc.subject.keywordAuthor | Regularized theta integral | - |
dc.subject.keywordPlus | WEAK MAASS FORMS | - |
dc.subject.keywordPlus | MODULAR-FORMS | - |
dc.subject.keywordPlus | AUTOMORPHIC-FORMS | - |
dc.subject.keywordPlus | DIRICHLET SERIES | - |
dc.subject.keywordPlus | CUSP FORMS | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.