3 papers
math.CO2024
Enumerating tame friezes over
Sammy Benzaira, Ian Short, Matty van Son +1
We use a class of Farey graphs introduced by the final three authors to enumerate the tame friezes over . Using the same strategy we enumerate the tame regu…
math.NT2021
Equations of the Cayley Surface
Matty van Son
In this note we study the integer solutions of Cayley's cubic equation. We find infinite families of solutions built from recurrence relations. We use these solutions to solve cert…
math.NT2019
Uniqueness conjectures for extended Markov numbers
Matty van Son
We study an extension to the uniqueness conjecture for Markov numbers. For any three positive integers and satisfying , this conjecture states…