Abstract
Here we look at the Markov equations \(ax^2+by^2+cz^2=dxyz\) with integer solutions (x, y, z) which are all members of a Lucas sequence whose characteristic equation has roots which are quadratic units.
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Acknowledgements
We thank the referee for useful suggestions. Part of this work was done when F. L. was in residence at the Max Planck Institute for Mathematics in Bonn, Germany, from September, 2019 to March, 2020. He thanks the people of this Institute for hospitality and support.
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Altassan, A., Luca, F. Markov Type Equations with Solutions in Lucas Sequences. Mediterr. J. Math. 18, 87 (2021). https://doi.org/10.1007/s00009-021-01711-x
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DOI: https://doi.org/10.1007/s00009-021-01711-x