Periodic points of algebraic functions related to a continued fraction of Ramanujan

MaRDI QIDQ6574903

Patrick Morton, Sushmanth J. Akkarapakam

Publication date: 19 July 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodic pointsRamanujan continued fractionalgebraic function2-adic fieldextended ring class fields

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Holomorphic modular forms of integral weight (11F11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Algebraic functions and function fields in algebraic geometry (14H05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) (p)-adic and power series fields (11D88) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Cites Work

• Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction
• Some continued fractions of the Rogers-Ramanujan type
• The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields
• Ramanujan's Theta Functions
• Die Teilwerte der Weberschen Tau-Funktion.
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Related Items (1)

On Ramanujan's cubic continued fraction

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