Factorizations that involve Ramanujan's function \(k(q)=r(q)r^2(q^2)\)

DOI10.1007/s10114-011-0202-9zbMath1282.11028OpenAlexW2041178455WikidataQ114228376 ScholiaQ114228376MaRDI QIDQ1942177

Shaun Cooper, Michael D. Hirschhorn

Publication date: 18 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0202-9

zbMATH Keywords

Jacobi triple product identityinfinite productRogers-Ramanujan continued fraction

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)

Related Items (5)

THE LEVEL 12 ANALOGUE OF RAMANUJAN’S FUNCTION ⋮ Some modular relations for Ramanujan's function \(k(q)=r(q)r^2(q^2)\) ⋮ Ramanujan's function \(k\), revisited ⋮ The Rogers-Ramanujan continued fraction and its level 13 analogue ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

Cites Work

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• Eisenstein series and elliptic functions on \(\Gamma _{0}(10)\)
• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• Two modular equations for squares of the Rogers-Ramanujan functions with applications
• The Rogers-Ramanujan continued fraction and a new Eisenstein series identity
• Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
• Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook

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