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

DOI10.7468/JKSMEB.2021.28.1.27zbMath1492.11092OpenAlexW3135385168MaRDI QIDQ5087356

Dae Hyun Paek

Publication date: 11 July 2022

Full work available at URL: http://devkiss.kstudy.com/thesis/thesis-view.asp?key=3862090

zbMATH Keywords

theta function identitiesmodular equationscubic continued fraction

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Continued fractions (11A55) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
• The explicit formulas and evaluations of Ramanujan's theta-function \(\psi\)
• 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
• Evaluations of the cubic continued fraction by some theta function identities
• ON SOME MODULAR EQUATIONS AND THEIR APPLICATIONS I

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