On Ramanujan's cubic continued fraction

DOI10.4064/aa-73-4-343-355zbMath0834.11030OpenAlexW1031945888MaRDI QIDQ4855031

Heng Huat Chan

Publication date: 7 January 1996

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206824

zbMATH Keywords

identitiesRamanujan's cubic continued fractionnumerical valuesreciprocity theoremsalgorithm for computing \(\pi\), modular equationsBorwein's cubic theta function identity

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Holomorphic modular forms of integral weight (11F11) Continued fractions (11A55)

Related Items (20)

Evaluations of the cubic continued fraction by some theta function identities ⋮ On some arithmetic properties of Siegel functions ⋮ The evaluation of two-dimensional lattice sums via Ramanujan's theta functions ⋮ Unnamed Item ⋮ Properties of reciprocity formulas for the Rogers-Ramanujan continued fractions ⋮ On Ramanujan's cubic continued fraction as a modular function ⋮ On a continued fraction of order six ⋮ New identities for Ramanujan's cubic continued fraction ⋮ Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Evaluations of the cubic continued fraction by some theta function identities: Revisited ⋮ Some new explicit values of quotients of Ramanujan's theta functions and continued fractions ⋮ A new proof of two identities involving Ramanujan's cubic continued fraction ⋮ The explicit formulas and evaluations of Ramanujan's theta-function \(\psi\) ⋮ Modular equations of a continued fraction of order six ⋮ Congruences for cubic partition pairs modulo powers of 3 ⋮ Unnamed Item ⋮ Continued fractions of order six and new Eisenstein series identities ⋮ Modular equations for Ramanujan's cubic continued fraction

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