Necessary and sufficient conditions for convergence of integer continued fractions

DOI10.1090/proc/15574zbMath1492.40001arXiv2102.10173OpenAlexW3136512192MaRDI QIDQ5020700

Ian Short, Margaret Rosemary Stanier

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10173

zbMATH Keywords

continued fractionsFarey graph

Mathematics Subject Classification ID

Continued fractions (11A55) Convergence and divergence of continued fractions (40A15)

Related Items (1)

Convergence of improper Iwasawa continued fractions

Cites Work

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• Continued fractions with multiple limits
• Continued fractions. Vol. 1: Convergence theory
• Coding of closed geodesics after Gauss and Morse
• Geodesic continued fractions
• Geodesic Rosen Continued Fractions
• Convergence of Random Continued Fractions and Random Iterations of Möbius Transformations
• Symbolic dynamics for the modular surface and beyond
• Continued fraction expansions for complex numbers–-a general approach
• Continued fractions for complex numbers and values of binary quadratic forms
• Geometry of continued fractions

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