Singular values of the Rogers-Ramanujan continued fraction

DOI10.1007/s11139-006-8477-7zbMath1112.11058OpenAlexW2012056599MaRDI QIDQ850535

Mascha Honsbeek, Alice Gee

Publication date: 3 November 2006

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-8477-7

zbMATH Keywords

Rogers-Ramanujan continued fractionShimura reciprocity

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items

The level 13 analogue of the Rogers-Ramanujan continued fraction and its modularity ⋮ On Ramanujan's cubic continued fraction as a modular function ⋮ Three Ramanujan continued fractions with modularity ⋮ A continued fraction of order twelve as a modular function ⋮ Modularity of a Ramanujan-Selberg continued fraction ⋮ Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction ⋮ Modular curves and Ramanujan's continued fraction

Cites Work

• Class invariants by Shimura's reciprocity law
• A Note on Subgroups of the Modular Group
• Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
• The Ramanujan Identities Under Modular Substitutions
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