27 citations · 27 across the 3 of their papers we have counts for
4 papers
Irreducible polynomials from a cubic transformation
Sandro Mattarei, Marco Pizzato
Let be a rational expression of degree three over the finite field . We count the irreducible polynomials in , of a given degree, wh…
Cubic rational expressions over a finite field
Sandro Mattarei, Marco Pizzato
We study and partially classify cubic rational expressions over a finite field , up to pre- and post-composition with independent Möbius transformations.…
Effective non-vanishing for Fano weighted complete intersections
Marco Pizzato, Taro Sano, Luca Tasin
We show that Ambro-Kawamata's non-vanishing conjecture holds true for a quasi-smooth WCI X which is Fano or Calabi-Yau, i.e. we prove that, if H is an ample Cartier divisor on X, t…
Generalizations of self-reciprocal polynomials
Sandro Mattarei, Marco Pizzato
A formula for the number of monic irreducible self-reciprocal polynomials, of a given degree over a finite field, was given by Carlitz in 1967. In 2011 Ahmadi showed that Carlitz's…