On the Markov numbers: fixed numerator, denominator, and sum conjectures

Clément Lagisquet, Edita Pelantová, Sébastien Tavenas +1

The Markov numbers are the positive integer solutions of the Diophantine equation $x^2+y^2+z^2=3xyz$. Already in 1880, Markov showed that all these solutions could be generat…