On irreducible divisors of iterated polynomials

DOI10.4171/RMI/809zbMath1339.11099OpenAlexW2037293272MaRDI QIDQ2256067

Alina Ostafe, Igor E. Shparlinski, Domingo Gómez-Pérez

Publication date: 19 February 2015

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

Full work available at URL: https://doi.org/10.4171/rmi/809

zbMATH Keywords

character sumdiscriminantresultantiterated polynomialsStickelberger theoremWeil boundABC-conjectureMason theorem

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Other character sums and Gauss sums (11T24) Estimates on character sums (11L40) Additive number theory; partitions (11P99)

Related Items (6)

On some extensions of the Ailon-Rudnick theorem ⋮ Eventually stable rational functions ⋮ The arithmetic of consecutive polynomial sequences over finite fields ⋮ On the factorization of iterated polynomials ⋮ Permutation polynomials and factorization ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

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• An estimate on the number of stable quadratic polynomials
• Composite rational functions expressible with few terms
• Stable polynomials over finite fields
• Prime factors of dynamical sequences
• On a theorem of Stickelberger
• Irreducibility of the iterates of a quadratic polynomial over a field
• Stabilité des polynômes

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