Evaluations of the cubic continued fraction by some theta function identities

DOI10.11568/kjm.2019.27.4.1043zbMath1432.11047OpenAlexW2997933097MaRDI QIDQ5221090

Jinhee Yi, Dae Hyun Paek

Publication date: 24 March 2020

Full work available at URL: https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002534759

zbMATH Keywords

theta function identitiescubic continued fractionparameters for the theta function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (1)

Evaluations of the cubic continued fraction by some theta function identities: Revisited

Cites Work

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• ON EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY A MODULAR EQUATION OF DEGREE 9
• ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS II
• On Ramanujan's continued fraction
• On Ramanujan's cubic continued fraction
• Ramanujan's class invariants and cubic continued fraction
• ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS I

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