Generalized Markoff equations and Chebyshev polynomials

DOI10.1016/j.jnt.2014.12.006zbMath1393.11028OpenAlexW2042513817MaRDI QIDQ2406722

Donald McGinn

Publication date: 5 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.12.006

zbMATH Keywords

Chebyshev polynomialsMarkoff equationsEuclid treeunicity conjecture

Mathematics Subject Classification ID

Trees (05C05) Cubic and quartic Diophantine equations (11D25) Markov and Lagrange spectra and generalizations (11J06)

Related Items (1)

The Markoff equation over polynomial rings

Cites Work

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• On the Frobenius conjecture for Markoff numbers
• A note on Chebyshev polynomials, cyclotomic polynomials and twin primes
• Markov's Theorem and 100 Years of the Uniqueness Conjecture
• THE MARKOV NUMBERS AND EXCEPTIONAL BUNDLES ON P²
• On the Number of Markoff Numbers Below a Given Bound
• Über die Diophantische Gleichung ax2 + by2 + cz2 = dxyz.
• On the Unicity Conjecture for Markoff Numbers
• On the Integer Solutions of the Equation x ² +y ² +z ² +2xyz = n
• Markoff numbers, principal ideals and continued fraction expansions

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