Irreducibility results for compositions of polynomials in several variables

2006/07/26 by Anca Iuliana Bonciocat, Alexandru Zaharescu, Bonciocat, Anca Iuliana +1
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0607656

openalex publication_date 2006/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain explicit upper bounds for the number of irreducible factors for a class of compositions of polynomials in several variables over a given field. In particular, some irreducibility criteria are given for this class of compositions of polynomials.

Related

• Irreducible Compositions of Polynomials over Finite Fields
• Irreducible polynomials over finite fields produced by composition of quadratics
• Number of irreducible polynomials in several variables over finite fields
• Prime numbers and factorization of polynomials
• Irreducibility of a sum of polynomials depending on disjoint sets of variables