An iterative construction of irreducible polynomials reducible modulo every prime

DOI10.1016/j.jalgebra.2012.05.020zbMath1302.11086arXiv1012.2857OpenAlexW2963739610MaRDI QIDQ1946103

Rafe Jones

Publication date: 17 April 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2857

zbMATH Keywords

polynomial iterationirreducibility of polynomialsalgebraic number theory

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Dynamical systems over global ground fields (37P15)

Related Items (13)

Liberate Abstract Garbage Collection from the Stack by Decomposing the Heap ⋮ On the existence of infinite, non-trivial \(F\)-sets ⋮ Eventually stable quadratic polynomials over \(\mathbb{Q}\) ⋮ Eventually stable rational functions ⋮ Prime divisors in polynomial orbits over function fields ⋮ The set of stable primes for polynomial sequences with large Galois group ⋮ The Vojta conjecture implies Galois rigidity in dynamical families ⋮ Irreducibility of iterates of post-critically finite quadratic polynomials over \(\mathbb{Q}\) ⋮ On iterated extensions of number fields arising from quadratic polynomial maps ⋮ Dynamical irreducibility of polynomials modulo primes ⋮ Current trends and open problems in arithmetic dynamics ⋮ Newly reducible polynomial iterates ⋮ On Sets of Irreducible Polynomials Closed by Composition

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