On the factorization of iterated polynomials

DOI10.4171/rmi/1187zbMath1473.12001arXiv1810.07715OpenAlexW3012250603MaRDI QIDQ1998690

Lucas Reis

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07715

zbMATH Keywords

factorizationspinirreducible polynomialsdynamics over finite fields

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over finite fields (11T06) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (2)

On the number of total prime factors of an odd perfect number ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On irreducible divisors of iterated polynomials
• Irreducible polynomials over finite fields produced by composition of quadratics
• Settled polynomials over finite fields
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• The Galois Theory of Iterates and Composites of Polynomials
• Irreducibility of the iterates of a quadratic polynomial over a field
• Current trends and open problems in arithmetic dynamics
• Stabilité des polynômes
• The Irreducible Factors of f(x^m ) over a Finite Field

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