Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. II: The Rogers-Ramanujan continued fraction

zbMath1441.11064arXiv1806.11079MaRDI QIDQ2335704

Patrick Morton

Publication date: 15 November 2019

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

Full work available at URL: https://arxiv.org/abs/1806.11079

zbMATH Keywords

periodic pointsalgebraic functionsRogers-Ramanujan continued fractionring class fields5-adic field

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Higher degree equations; Fermat's equation (11D41) Elliptic curves over local fields (11G07) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Supersingular conjectures for the Fricke group, The Hasse invariant of the Tate normal form \(E_7\) and the supersingular polynomial for the Fricke group \(\Gamma_0^*(7)\), On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\), The Hasse invariant of the Tate normal form \(E_5\) and the class number of \(\mathbb{Q}(\sqrt{-5l})\), Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. III