Newly reducible polynomial iterates
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Publication:5001863
DOI10.1142/S1793042121500433zbMath1475.37109arXiv2008.01222OpenAlexW3115536463MaRDI QIDQ5001863
Yukihiko Segawa, Rafe Jones, Eli Orvis, Peter Illig, Nick Spinale
Publication date: 23 July 2021
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.01222
Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over finite ground fields (37P25)
Cites Work
- Newly reducible iterates in families of quadratic polynomials
- An iterative construction of irreducible polynomials reducible modulo every prime
- Irreducibility of iterates of post-critically finite quadratic polynomials over \(\mathbb{Q}\)
- On the irreducibility of the iterates of 𝑥ⁿ-𝑏
- ON STABLE QUADRATIC POLYNOMIALS
- Settled polynomials over finite fields
- The density of prime divisors in the arithmetic dynamics of quadratic polynomials
- Irreducibility of the iterates of a quadratic polynomial over a field
- Properties of Iterates and Composites of Polynomials
- An infinite family of cubics with emergent reducibility at depth 1
- On irreducible polynomials of certain types in finite fields
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