Modular equations for the Rogers-Ramanujan continued fraction and the Dedekind eta-function
From MaRDI portal
Publication:1597192
DOI10.1023/A:1013991704758zbMath1043.11041MaRDI QIDQ1597192
Publication date: 12 May 2002
Published in: The Ramanujan Journal (Search for Journal in Brave)
Continued fractions (11A55) Dedekind eta function, Dedekind sums (11F20) Applications of basic hypergeometric functions (33D90)
Related Items
Supersingular conjectures for the Fricke group ⋮ Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ Modular equations for cubes of the Rogers-Ramanujan and Ramanujan-Göllnitz-Gordon functions and their associated continued fractions ⋮ Some modular relations for Ramanujan's function \(k(q)=r(q)r^2(q^2)\) ⋮ Some new modular equations and their applications ⋮ The explicit formulas and evaluations of Ramanujan's theta-function \(\psi\) ⋮ Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. III ⋮ Theta-function identities and the explicit formulas for theta-function and their applications ⋮ Modular curves and Ramanujan's continued fraction ⋮ A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\)
