Branches of Markoff $m$-triples with two $k$-Fibonacci components

David Alfaya, Luis Ángel Calvo, Pedro-José Cazorla +2

We study infinite paths of Markoff $m$-triples, that is, solutions to the generalised Markoff equation \[ x^2+y^2+z^2=3xyz+m, \] with $m>0$, with at least two $k$-Fibonacci compone…