An estimate on the number of stable quadratic polynomials

DOI10.1016/j.ffa.2010.06.005zbMath1222.11143OpenAlexW2030505469MaRDI QIDQ609358

Domingo Gomez, Alejandro P. Nicolas

Publication date: 30 November 2010

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.06.005

zbMATH Keywords

irreducible polynomialscomposition of polynomialsstable quadratic polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Estimates on character sums (11L40) Dynamical systems over finite ground fields (37P25)

Related Items (7)

ON STABLE QUADRATIC POLYNOMIALS ⋮ A new direction on constructing irreducible polynomials over finite fields ⋮ On irreducible divisors of iterated polynomials ⋮ Dynamical irreducibility of polynomials modulo primes ⋮ A note on the stability of trinomials over finite fields ⋮ Current trends and open problems in arithmetic dynamics ⋮ On Sets of Irreducible Polynomials Closed by Composition

Cites Work

• Unnamed Item
• ON STABLE QUADRATIC POLYNOMIALS
• Settled polynomials over finite fields
• On the length of critical orbits of stable quadratic polynomials
• Irreducibility of the iterates of a quadratic polynomial over a field
• Stabilité des polynômes

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