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math.NT2013★ 5 cited
The number of reducible space curves over a finite field
Eda Cesaratto, Joachim von zur Gathen, Guillermo Matera
"Most" hypersurfaces in projective space are irreducible, and rather precise estimates are known for the probability that a random hypersurface over a finite field is reducible. Th…
math.NT2013
On the value set of small families of polynomials over a finite field, I
Eda Cesaratto, Guillermo Matera, Mariana Pérez +1
We obtain an estimate on the average cardinality of the value set of any family of monic polynomials of Fq[T] of degree d for which s consecutive coefficients a_{d-1},..., a_{d-s}…