Markoff-Rosenberger triples with Fibonacci components

DOI10.3336/gm.55.1.03zbMath1456.11033OpenAlexW3034566991MaRDI QIDQ3297404

Szabolcs Tengelys

Publication date: 20 July 2020

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://hrcak.srce.hr/file/347009

zbMATH Keywords

Fibonacci numbersMarkoff equation

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Markoff-Rosenberger triples and generalized Lucas sequences ⋮ Solutions of the Markoff equation in Tribonacci numbers ⋮ Markov type equations with solutions in Lucas sequences

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• The Markoff equation \(X^ 2+Y^ 2+Z^ 2=aXYZ\) over quadratic imaginary fields
• The Magma algebra system. I: The user language
• The equation \(ax^2+by^2+cz^2=dxyz\) over quadratic imaginary fields
• Markoff-Rosenberger triples in arithmetic progression
• Markoff-Rosenberger triples in geometric progression
• Über die Diophantische Gleichung ax2 + by2 + cz2 = dxyz.

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