2 papers
math.NT2026
Branches of Markoff -triples with two -Fibonacci components
David Alfaya, Luis Ãngel Calvo, Pedro-José Cazorla +2
We study infinite paths of Markoff -triples, that is, solutions to the generalised Markoff equation \[ x^2+y^2+z^2=3xyz+m, \] with , with at least two -Fibonacci compone…
math.NT2025
A classification of Markoff-Fibonacci m-triples
D. Alfaya, L. A. Calvo, A. MartÃnez de Guinea +2
We classify all solution triples with Fibonacci components to the equation for positive . We show that for they are precisely , with…