On the diophantine equations generalizing those of Markoff

DOI10.5802/afst.858zbMath0882.11020OpenAlexW2118569424MaRDI QIDQ1367972

Serge Perrine

Publication date: 16 November 1997

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1997_6_6_1_127_0

zbMATH Keywords

cubic diophantine equationsMarkoff equations

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Markov and Lagrange spectra and generalizations (11J06)

Related Items (1)

A tree of approximation constants analogous to those of Markov's diophantine equation

Cites Work

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• On a generalization of Markoff's theory.
• The Markoff equation \(X^ 2+Y^ 2+Z^ 2=aXYZ\) over quadratic imaginary fields
• On Perrine's generalized Markoff equations
• Integral solutions of Markoff-Hurwitz equations
• On a problem of Hurwitz
• Certain Diophantine Equations Linear In One Unknown
• On a Class of Cubic Diophantine Equations
• Rational varieties: algebra, geometry and arithmetic
• CUBIC SURFACES OF MARKOV TYPE
• Representation of Markoff's binary quadratic forms by geodesics on a perforated torus

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