ON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS

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dc.contributor.authorPaek, Dae Hyunko
dc.contributor.authorYi, Jinheeko
dc.date.accessioned2019-04-15T15:12:23Z-
dc.date.available2019-04-15T15:12:23Z-
dc.date.created2013-09-12-
dc.date.issued2013-07-
dc.identifier.citationBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.4, pp.1315 - 1328-
dc.identifier.issn1015-8634-
dc.identifier.urihttp://hdl.handle.net/10203/254774-
dc.description.abstractWe first derive several modular equations of degree 5 and present their concise proofs based on algebraic computations. We then establish explicit relations and formulas for some parameterizations for the theta functions phi and psi by using the derived modular equations. In addition, we find specific values of the parameterizations and evaluate some numerical values of the Rogers-Ramanujan continued fraction.-
dc.languageEnglish-
dc.publisherKOREAN MATHEMATICAL SOC-
dc.subjectRAMANUJAN CONTINUED-FRACTION-
dc.subjectEXPLICIT FORMULAS-
dc.subjectTHETA-FUNCTION-
dc.titleON SOME MODULAR EQUATIONS OF DEGREE 5 AND THEIR APPLICATIONS-
dc.typeArticle-
dc.identifier.wosid000323185400022-
dc.identifier.scopusid2-s2.0-84887110452-
dc.type.rimsART-
dc.citation.volume50-
dc.citation.issue4-
dc.citation.beginningpage1315-
dc.citation.endingpage1328-
dc.citation.publicationnameBULLETIN OF THE KOREAN MATHEMATICAL SOCIETY-
dc.identifier.doi10.4134/BKMS.2013.50.4.1315-
dc.contributor.nonIdAuthorPaek, Dae Hyun-
dc.type.journalArticleArticle-
dc.subject.keywordAuthortheta functions-
dc.subject.keywordAuthormodular equations-
dc.subject.keywordAuthorcontinued fractions-
dc.subject.keywordPlusRAMANUJAN CONTINUED-FRACTION-
dc.subject.keywordPlusEXPLICIT FORMULAS-
dc.subject.keywordPlusTHETA-FUNCTION-
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