Sharpening of theorems of Vahlen and Hurwitz and approximation properties of the Golden ratio

DOI10.1007/s00013-015-0788-8zbMath1328.11080OpenAlexW2242157264MaRDI QIDQ494602

Jaroslav Hančl

Publication date: 1 September 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0788-8

zbMATH Keywords

approximationcontinued fractionGolden ratio

Mathematics Subject Classification ID

Continued fractions (11A55) Measures of irrationality and of transcendence (11J82)

Related Items (6)

Second basic theorem of Hurwitz ⋮ Refinement of the theorem of Vahlen ⋮ On a theorem of A. A. Markoff ⋮ On quadratic numbers and forms, and Markoff theory ⋮ One-sided Diophantine approximations ⋮ Unnamed Item

Cites Work

• On metric Diophantine approximation in the field of formal Laurent series
• Diophantine approximation
• Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
• Approximation by Continued Fractions
• Diophantine Approximation via the Modular Group
• An Easy Proof of Hurwitz's Theorem
• Shorter Notes: Hurwitz' Theorem
• Geometry of continued fractions
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