DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Bumkyu | ko |
dc.contributor.author | Koo, JaKyung | ko |
dc.contributor.author | Park, Yoon Kyung | ko |
dc.date.accessioned | 2013-03-11T09:16:45Z | - |
dc.date.available | 2013-03-11T09:16:45Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-12 | - |
dc.identifier.citation | TOHOKU MATHEMATICAL JOURNAL, v.62, no.4, pp.579 - 603 | - |
dc.identifier.issn | 0040-8735 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98887 | - |
dc.description.abstract | We first extend the results of Chan ([4]) and Baruah (121) on the modular equations of Ramanujan's cubic continued fraction C(tau) to all primes p by finding the affine models of modular curves and then derive Kronecker's congruence relations for these modular equations. We further show that by its singular values we can generate ray class fields modulo 6 over imaginary quadratic fields and find their class polynomials after proving that 1/C(tau) is an algebraic integer. | - |
dc.language | English | - |
dc.publisher | TOHOKU UNIVERSITY | - |
dc.subject | SINGULAR-VALUES | - |
dc.subject | FIELDS | - |
dc.subject | EQUATIONS | - |
dc.title | ON RAMANUJANS CUBIC CONTINUED FRACTION AS A MODULAR FUNCTION | - |
dc.type | Article | - |
dc.identifier.wosid | 000287679800007 | - |
dc.identifier.scopusid | 2-s2.0-79953907893 | - |
dc.type.rims | ART | - |
dc.citation.volume | 62 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 579 | - |
dc.citation.endingpage | 603 | - |
dc.citation.publicationname | TOHOKU MATHEMATICAL JOURNAL | - |
dc.identifier.doi | 10.2748/tmj/1294170348 | - |
dc.contributor.localauthor | Koo, JaKyung | - |
dc.contributor.nonIdAuthor | Cho, Bumkyu | - |
dc.contributor.nonIdAuthor | Park, Yoon Kyung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Class field theory | - |
dc.subject.keywordAuthor | Modular form | - |
dc.subject.keywordAuthor | Ramanujan cubic continued fraction | - |
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