Ramanujan's class invariants and cubic continued fraction
From MaRDI portal
Publication:4871320
DOI10.4064/aa-73-1-67-85zbMath0843.11007OpenAlexW215730710MaRDI QIDQ4871320
Heng Huat Chan, Bruce C. Berndt, Liang-Cheng Zhang
Publication date: 13 August 1996
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/206811
elliptic integralsmodular equationsingular modulusRamanujan's class invariantsRamanujan's cubic continued fractionexplicit formulaeclass invariant formulae
Modular and automorphic functions (11F03) Continued fractions (11A55) Elliptic functions and integrals (33E05)
Related Items
Evaluations of the cubic continued fraction by some theta function identities, Class invariants from a new kind of Weber-like modular equation, Ramanujan’s modular equations and Weber–Ramanujan class invariants G n and g n, A product of theta-functions analogous to Ramanujan's remarkable product of theta-functions and applications, The three missing terms in Ramanujan's septic theta function identity, Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction., Evaluations of the cubic continued fraction by some theta function identities: Revisited, A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications, Some new explicit values of quotients of Ramanujan's theta functions and continued fractions, Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction, A new proof of two identities involving Ramanujan's cubic continued fraction, The explicit formulas and evaluations of Ramanujan's theta-function \(\psi\), Certain Somos's \(P-Q\) type Dedekind \({\eta}\)-function identities
