Markoff $m$-triples with $k$-Fibonacci components

D. Alfaya, L. A. Calvo, A. Martínez de Guinea +2

We classify all solution triples with $k$-Fibonacci components to the equation $x^2+y^2+z^2=3xyz+m,$ where $m$ is a positive integer and $k\ge 2$. As a result, for $m=8$, we have…