Markoff numbers, principal ideals and continued fraction expansions

DOI10.1006/jnth.2000.2578zbMath0983.11040OpenAlexW1997299474MaRDI QIDQ5931956

Jack Oliver Button

Publication date: 23 April 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:fc6f3446-4389-41e2-9cb4-d75505137821

zbMATH Keywords

continued fractionsMarkoff numberMarkoff tripleprincipal ideals

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions and generalizations (11J70) Cubic and quartic Diophantine equations (11D25) Markov and Lagrange spectra and generalizations (11J06)

Related Items (6)

Continued fractions and the Markoff tree ⋮ Generalized Markoff equations and Chebyshev polynomials ⋮ On the Frobenius conjecture for Markoff numbers ⋮ Multiplicities of simple closed geodesics and hypersurfaces in Teichmüller space ⋮ Dedekind sums and generalizations of the Markov Diophantine equation ⋮ Markoff numbers and ambiguous classes

Cites Work

• The geometry of Markoff numbers
• The Uniqueness of the Prime Markoff Numbers
• On the Unicity Conjecture for Markoff Numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Markoff numbers, principal ideals and continued fraction expansions