Continued fractions as dynamical systems

DOI10.1016/j.amc.2011.02.092zbMath1383.37005OpenAlexW2029948350MaRDI QIDQ440693

Donato Trigiante, Felice Iavernaro

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.092

zbMATH Keywords

continued fractionsdiscrete dynamical systemsPell equationsquadratic irrationals

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Applications of difference equations (39A60)

Cites Work

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• Continued fractions without fractions: Lagrange theorem and Pell equations
• Continued fractions with even period and an infinite family of real quadratic fields of minimal type
• Difference equations and continued fractions
• Polynomial roots: The ultimate answer?
• Pell's equation
• Efficient strategy for adaptive partition of N-dimensional intervals in the framework of diagonal algorithms