ON RAMANUJANS CUBIC CONTINUED FRACTION AS A MODULAR FUNCTION

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dc.contributor.authorCho, Bumkyuko
dc.contributor.authorKoo, JaKyungko
dc.contributor.authorPark, Yoon Kyungko
dc.date.accessioned2013-03-11T09:16:45Z-
dc.date.available2013-03-11T09:16:45Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2010-12-
dc.identifier.citationTOHOKU MATHEMATICAL JOURNAL, v.62, no.4, pp.579 - 603-
dc.identifier.issn0040-8735-
dc.identifier.urihttp://hdl.handle.net/10203/98887-
dc.description.abstractWe 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.languageEnglish-
dc.publisherTOHOKU UNIVERSITY-
dc.subjectSINGULAR-VALUES-
dc.subjectFIELDS-
dc.subjectEQUATIONS-
dc.titleON RAMANUJANS CUBIC CONTINUED FRACTION AS A MODULAR FUNCTION-
dc.typeArticle-
dc.identifier.wosid000287679800007-
dc.identifier.scopusid2-s2.0-79953907893-
dc.type.rimsART-
dc.citation.volume62-
dc.citation.issue4-
dc.citation.beginningpage579-
dc.citation.endingpage603-
dc.citation.publicationnameTOHOKU MATHEMATICAL JOURNAL-
dc.identifier.doi10.2748/tmj/1294170348-
dc.contributor.localauthorKoo, JaKyung-
dc.contributor.nonIdAuthorCho, Bumkyu-
dc.contributor.nonIdAuthorPark, Yoon Kyung-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorClass field theory-
dc.subject.keywordAuthorModular form-
dc.subject.keywordAuthorRamanujan cubic continued fraction-
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