On the greatest prime factor of Markov pairs

zbMath1215.11028arXivmath/0205136MaRDI QIDQ879775

Pietro Corvaja, Umberto Zannier

Publication date: 9 May 2007

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205136

zbMATH Keywords

greatest prime factorMarkov pairs

Mathematics Subject Classification ID

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

Related Items (4)

Integral points on Markoff type cubic surfaces ⋮ Book review of: Martin Aigner, Markov's theorem and 100 years of the uniqueness conjecture. ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ Markov triples with two Fibonacci components

Cites Work

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• Number theory III: Diophantine geometry
• Distribution of solutions of diophantine equations \(f_ 1 (x_ 1) f_ 2 (x_ 2)= f_ 3 (x_ 3)\), where \(f_ i\) are polynomials. II
• S-unit points on analytic hypersurfaces
• Parametrizing SL₂(Z) and a question of Skolem
• On the diophantine equation $f(a^m,y)=b^n$

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