Jorge Jiménez Urroz

activity

20202023

collaborators

3 papers

math.CO2023

Permutation and local permutation polynomial of maximum degree

Jaime Gutierrez, Jorge Jimenez Urroz

Let $F_{q}$ be the finite field with $q$ elements and $F_{q} [x_{1}, \dots, x_{n}]$ the ring of polynomials in $n$ variables over $F_{q}$ . In this paper we consider permutation polynomials an…

math.NT2022

Factoring Numbers with elliptic curves

Jorge Jimenez Urroz, Jacek Pomykala

In the present paper we provide a probabilistic polynomial time algorithm that reduces the complete factorization of any squarefree integer $n$ to counting points on elliptic curve…

math.NT2020

Primes represented by quadratic polynomials via exceptional characters

Fernando Chamizo, Jorge Jiménez Urroz

We estimate the number of primes represented by a general quadratic polynomial with discriminant $Δ$ , assuming that the corresponding real character is exceptional.