Markoff numbers and ambiguous classes

DOI10.5802/jtnb.701zbMath1209.11036OpenAlexW2335776705MaRDI QIDQ988077

Anitha Srinivasan

Publication date: 25 August 2010

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2009__21_3_757_0

zbMATH Keywords

Markoff numberMarkoff conjecture

Mathematics Subject Classification ID

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

Related Items (1)

An improvement of the Minkowski bound for real quadratic orders using the Markoff theorem

Cites Work

• On a generalization of Markoff's theory.
• A tree of approximation constants analogous to those of Markov's diophantine equation
• Systoles of arithmetic surfaces and Markoff spectrum
• Continued fractions and the Markoff tree
• A simple proof of the Markoff conjecture for prime powers
• On the Number of Markoff Numbers Below a Given Bound
• The Uniqueness of the Prime Markoff Numbers
• My Numbers, My Friends
• On the Unicity Conjecture for Markoff Numbers
• Congruence and uniqueness of certain Markoff numbers
• Markoff numbers, principal ideals and continued fraction expansions
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