Irreducibility of the iterates of a quadratic polynomial over a field

DOI10.4064/aa-93-1-87-97zbMath0945.11020OpenAlexW962535766MaRDI QIDQ4488461

Donald L. McQuillan, Mohamed Ayad

Publication date: 6 July 2000

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207402

zbMATH Keywords

quadratic polynomialirreducibilitystable polynomial

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials over finite fields (11T06) Polynomials (irreducibility, etc.) (11R09)

Related Items (12)

Settled polynomials over finite fields ⋮ An estimate on the number of stable quadratic polynomials ⋮ An iterative construction of irreducible polynomials reducible modulo every prime ⋮ On the factorization of iterated polynomials ⋮ On irreducible divisors of iterated polynomials ⋮ On the length of critical orbits of stable quadratic polynomials ⋮ On the complexity of exact counting of dynamically irreducible polynomials ⋮ Irreducibility of iterates of post-critically finite quadratic polynomials over \(\mathbb{Q}\) ⋮ Dynamical irreducibility of polynomials modulo primes ⋮ Stable polynomials over finite fields ⋮ A note on the stability of trinomials over finite fields ⋮ Newly reducible polynomial iterates

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