Markoff-Rosenberger triples and generalized Lucas sequences

DOI10.1007/s10998-021-00430-wOpenAlexW3215552410MaRDI QIDQ2166167

László Szalay, Hayder R. Hashim, Szabolcs Tengely

Publication date: 23 August 2022

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13935

zbMATH Keywords

balancing numbersJacobsthal numbersLucas sequencesMarkoff equation

Mathematics Subject Classification ID

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

Related Items (1)

Solutions of the Markoff equation in Tribonacci numbers

Cites Work

• The Magma algebra system. I: The user language
• Markov type equations with solutions in Lucas sequences
• Markoff-Rosenberger triples with Fibonacci components
• Über die Diophantische Gleichung ax2 + by2 + cz2 = dxyz.
• Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
• The House Problem
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