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20122014
most citedMinimal value set polynomials and a generalization of the Hermitian curve

2 citations · 2 across the 3 of their papers we have counts for

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math.NT2014

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…

math.NT2013

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…

math.NT2012

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…