On a continued fraction of order twelve and new Eisenstein series identities

DOI10.1016/j.jnt.2014.06.018zbMath1296.11001OpenAlexW1985394235MaRDI QIDQ741701

Chandrashekar Adiga, A. Vanitha, Zhi-Guo Liu

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.06.018

zbMATH Keywords

Eisenstein seriestheta functionelliptic functionRogers-Ramanujan's continued fraction

Mathematics Subject Classification ID

Continued fractions (11A55) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Elliptic functions and integrals (33E05) Theta functions and curves; Schottky problem (14H42)

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Cites Work

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• A continued fraction of order twelve
• The Rogers-Ramanujan continued fraction and a new Eisenstein series identity
• On the Ramanujan-Göllnitz-Gordon continued fraction
• A three-term theta function identity and its applications
• Some continued fractions of the Rogers-Ramanujan type
• Certain identities for Ramanujan-Göllnitz-Gordon continued fraction
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• A theta function identity and its implications
• Partitionen mit Differenzenbedingungen.