R. Conceição

collaborators

2 papers

math.NT2020

On integral points on isotrivial elliptic curves over function field

Ricardo Conceição

Let $k$ be a finite field and $L$ be the function field of a curve $C / k$ of genus $g \geq 1$ . In the first part of this note, we show that the number of separable $S$ -integral point…

math.NT2020

The Markoff equation over polynomial rings

Ricardo Conceição, Rachael Kelly, Samuel VanFossen

When $A = 3$ , the positive integral solutions of the so-called Markoff equation $M_{A} : x^{2} + y^{2} + z^{2} = A x y z$ can be generated from the single solution $(1, 1, 1)$ by the action of ce…