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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 555=27, 2023.

Original scientific paper

https://doi.org/10.21857/yq32ohx069

Solutions of the Markoff equation in Tribonacci numbers

Hayder R. Hashim orcid id orcid.org/0000-0001-5408-7496 ; Faculty of Computer Science and Mathematics, University of Kufa, P. O. Box 400, 54001 Al Najaf, Iraq

Full text: english pdf 565 Kb

page 71-79

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Abstract

In this paper, we determine all of the positive integer solutions of the so-called Markoff equation x2 + y2 + z2 = 3xyz in the sequence of Tribonacci numbers {Tn}, i.e. (x, y, z) = (Ti, Tj, Tk) such that i, j, k ≥ 2.

Keywords

Tribonacci numbers; Diophantine equations; Markoff equation

Hrčak ID:

307486

URI

https://hrcak.srce.hr/307486

Publication date:

25.8.2023.

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