Skoči na glavni sadržaj

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

Izvorni znanstveni članak

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

Puni tekst: engleski pdf 565 Kb

str. 71-79

preuzimanja: 157

citiraj

Sažetak

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.

Ključne riječi

Tribonacci numbers; Diophantine equations; Markoff equation

Hrčak ID:

307486

URI

https://hrcak.srce.hr/307486

Datum izdavanja:

25.8.2023.

Posjeta: 241 *