3 papers
math.NT2023
A polynomial analogue of Berggren's theorem on Pythagorean triples
Byungchul Cha, Ricardo Conceição
Say that is a positive primitive integral Pythagorean triple if are positive integers without common factors satisfying . An old theorem of B…
math.NT2011
On the characterization of minimal value set polynomials
Herivelto Borges, Ricardo Conceição
We give an explicit characterization of all minimal value set polynomials in $\F_q[x]$ whose set of values is a subfield $\F_{q'}$ of $\F_{q}$. We show that the set of such polynom…
math.NT2009
Elliptic curves over function fields with a large set of integral points
Ricardo Conceição
We construct isotrivial and non-isotrivial elliptic curves over with an arbitrarily large set of separable integral points. As an application of this construction…