The level 13 analogue of the Rogers-Ramanujan continued fraction and its modularity

DOI10.1016/j.jnt.2016.04.009zbMath1398.11104OpenAlexW2411572706MaRDI QIDQ301445

Yoon Kyung Park, Yoon-Jin Lee

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.009

zbMATH Keywords

modular functionmodular unitRogers-Ramanujan continued fraction

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Continued fractions and generalizations (11J70) Elliptic and modular units (11G16)

Related Items

Ramanujan's function \(k(\tau)=r(\tau)r^2(2\tau)\) and its modularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular values of the Rogers-Ramanujan continued fraction
• Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction
• The equations for modular function fields of principal congruence subgroups of prime level
• Explicit evaluations of a level 13 analogue of the Rogers-Ramanujan continued fraction
• Modular curves and Ramanujan's continued fraction