The Calkin–Wilf Tree of a Quadratic Surd

DOI10.1080/00029890.2019.1644123zbMath1450.11073arXiv1709.00473OpenAlexW3100057053MaRDI QIDQ5238048

Lionel Ponton

Publication date: 28 October 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00473

zbMATH Keywords

irrationalitycontinued fractionCalkin-Wilf treequadratic surd

Mathematics Subject Classification ID

Trees (05C05) Continued fractions (11A55) Irrationality; linear independence over a field (11J72)

Cites Work

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• Diophantine aspects of the Calkin-Wilf iteration
• Linking the Calkin-Wilf and Stern-Brocot trees
• Recounting the Rationals
• Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,4,…
• Proofs from THE BOOK

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