Conjectures on the evaluation of certain functions with algebraic properties

DOI10.1016/j.jnt.2015.03.002zbMath1323.11022OpenAlexW218484658WikidataQ123025701 ScholiaQ123025701MaRDI QIDQ2347032

Yanyan Li

Publication date: 26 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.03.002

zbMATH Keywords

periodicitytheta functionsspecial functionsalgebricity

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Continued fractions (11A55) Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• Conjectures on the evaluation of alternative modular bases and formulas approximating \(1/\pi\)
• Ramanujan type \(1/\pi\) approximation formulas
• Parametric evaluations of the Rogers-Ramanujan continued fraction
• The Rogers-Ramanujan continued fraction
• Continued fractions and modular functions
• Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions

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