Výsledky vyhledávání - "Pizzato, Marco"

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Irreducible polynomials from a cubic transformation

Publikováno v: Finite Fields Appl. Journal Profile 84, Article ID 102111, 22 p. (2022)

Let $R(x)=g(x)/h(x)$ be a rational expression of degree three over the finite field $\mathbb{F}_q$. We count the irreducible polynomials in $\mathbb{F}_q[x]$, of a given degree, which have the form $h(x)^{\mathrm{deg}\, f}\cdot f\bigl(R(x)\bigr)$ for

Externí odkaz: http://arxiv.org/abs/2111.04166

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Cubic rational expressions over a finite field

Autor: Mattarei, Sandro, Pizzato, Marco

We study and partially classify cubic rational expressions $g(x)/h(x)$ over a finite field $\mathbb{F}_q$, up to pre- and post-composition with independent M\"obius transformations. In particular, we obtain a full classification when $q$ is even, and

Externí odkaz: http://arxiv.org/abs/2104.00111

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Akademický článek

Irreducible polynomials from a cubic transformation

Autor: Mattarei, Sandro, Pizzato, Marco

Publikováno v: In Finite Fields and Their Applications December 2022 84

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Effective non-vanishing for Fano weighted complete intersections

Autor: Pizzato, Marco, Sano, Taro, Tasin, Luca

Publikováno v: Alg. Number Th. 11 (2017) 2369-2395

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, then |H| is not empty. If X is smooth, we further show that the general

Externí odkaz: http://arxiv.org/abs/1703.07344

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Generalizations of self-reciprocal polynomials

Autor: Mattarei, Sandro, Pizzato, Marco

Publikováno v: Finite Fields Appl. 48 (2017), 271-288

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 formula extends, essentially without change, to a count of irreducibl

Externí odkaz: http://arxiv.org/abs/1609.07677

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Dissertation/ Thesis

Some Problems Concerning Polynomials over Finite Fields, or Algebraic Divertissements

Autor: Pizzato, Marco

In this thesis we consider some problems concerning polynomials over finite fields. The first topic is the action of some groups on irreducible polynomials. We describe orbits and stabilizers. Next, we consider transformations of irreducible polynomi

Externí odkaz: https://hdl.handle.net/11572/367913

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On $k$-PN Functions over Finite Fields

Autor: Pizzato, Marco

Starting from PN functions, we introduce the concept of $k$-PN functions and classify $k$-PN monomials over finite fields of order $p, p^2$ and $p^4$ for small values of $k$.
Comment: 14 pages

Externí odkaz: http://arxiv.org/abs/1312.6839

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