2 citations · 2 across the 3 of their papers we have counts for
4 papers
On a Frobenius problem for polynomials
Ricardo Conceição, Rodrigo Gondim, Miguel Rodriguez
We extend the famous diophantine Frobenius problem to the case of polynomials over a field . Similar to the classical problem, we show that the case of the Frobenius probl…
Minimal value set polynomials and a generalization of the Hermitian curve
Herivelto Borges, Ricardo Conceicão
We use a recent characterization of minimal value set polynomials and - Frobenius nonclassical curves to construct curves that generalize the Hermitian curve. The genus and…
Explicit points on the Legendre curve II
Ricardo Conceição, Chris Hall, Douglas Ulmer
Let be the elliptic curve over the field $\Fp(t)$ where is an odd prime. We study the arithmetic of over extensions $\Fq(t^{1/d})$ where is a powe…
Unboundedness of the number of rational points on curves over function fields
Ricardo Conceição, Douglas Ulmer, José Felipe Voloch
We give examples of sequences of smooth non-isotrivial curves for every genus at least two, defined over a rational function field of positive characteristic, such that the (finite…