Dynamical irreducibility of polynomials modulo primes

DOI10.1007/s00209-020-02630-5zbMath1489.11177arXiv1905.11657OpenAlexW3096464232MaRDI QIDQ2043070

Alina Ostafe, Igor E. Shparlinski, László Mérai

Publication date: 22 July 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.11657

zbMATH Keywords

finite fieldpolynomialirreducibilityprime numbers

Mathematics Subject Classification ID

Applications of sieve methods (11N36) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Cites Work

• An estimate on the number of stable quadratic polynomials
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• Settled polynomials over finite fields
• Multiplicative Number Theory I
• Quadratic non-residues in short intervals
• The density of prime divisors in the arithmetic dynamics of quadratic polynomials
• Irreducibility of the iterates of a quadratic polynomial over a field
• The set of stable primes for polynomial sequences with large Galois group
• Errata to “Settled polynomials over finite fields”
• Current trends and open problems in arithmetic dynamics
• Stabilité des polynômes
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