D. Alfaya

collaborators

2 papers

math.NT2026

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

David Alfaya, Luis Ãngel Calvo, Pedro-JosÃ© 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…

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 $a^{2} + b^{2} + c^{2} = 3 ab c + m,$ for positive $m$ . We show that for $m = 2$ they are precisely $(1, F (b), F (b + 2))$ , with…

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

A classification of Markoff-Fibonacci m-triples

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