ON STABLE QUADRATIC POLYNOMIALS

DOI10.1017/S001708951200002XzbMath1241.11027MaRDI QIDQ2882500

Florian Luca, Omran Ahmadi, Alina Ostafe, Igor E. Shparlinski

Publication date: 6 May 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

irreducibility of polynomialsiterated polynomialsstable polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over finite fields (11T06) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (9)

An estimate on the number of stable quadratic polynomials ⋮ Eventually stable rational functions ⋮ A new direction on constructing irreducible polynomials over finite fields ⋮ An iterative construction of irreducible polynomials reducible modulo every prime ⋮ Stable polynomials over finite fields ⋮ A Refined Conjecture for Factorizations of Iterates of Quadratic Polynomials over Finite Fields ⋮ A note on the stability of trinomials over finite fields ⋮ Newly reducible polynomial iterates ⋮ On Sets of Irreducible Polynomials Closed by Composition

Cites Work

• Unnamed Item
• Unnamed Item
• An estimate on the number of stable quadratic polynomials
• On \(S\)-integral solutions of the equation \(y^ m=f(x)\)
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• Algebraic Function Fields and Codes
• On the length of critical orbits of stable quadratic polynomials
• The Galois Theory of Iterates and Composites of Polynomials
• Stabilité des polynômes
• Iterated Galois towers, their associated martingales, and the $p$-adic Mandelbrot set

This page was built for publication: ON STABLE QUADRATIC POLYNOMIALS