Stable polynomials over finite fields

DOI10.4171/RMI/791zbMath1319.11089arXiv1206.4979OpenAlexW2069366164MaRDI QIDQ742883

Daniel Sadornil, Alina Ostafe, Domingo Gómez-Pérez, Alejandro P. Nicolas

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1206.4979

zbMATH Keywords

finite fieldsdiscriminantirreducible polynomialiterations of polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Estimates on character sums (11L40) Polynomials (irreducibility, etc.) (11R09) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (9)

On some extensions of the Ailon-Rudnick theorem ⋮ Eventually stable rational functions ⋮ The arithmetic of consecutive polynomial sequences over finite fields ⋮ Distribution of polynomial discriminants modulo a prime ⋮ On irreducible divisors of iterated polynomials ⋮ On the complexity of exact counting of dynamically irreducible polynomials ⋮ Dynamical irreducibility of polynomials modulo primes ⋮ A note on the stability of trinomials over finite fields ⋮ Irreducible polynomials over finite fields produced by composition of quadratics

Cites Work

• On the irreducibility of the iterates of 𝑥ⁿ-𝑏
• ON STABLE QUADRATIC POLYNOMIALS
• Irreducibility of the iterates of a quadratic polynomial over a field

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