Cycle-lengths of a class of monic binomials

DOI10.7169/facm/1277811639zbMath1262.11090OpenAlexW2070649897MaRDI QIDQ985043

Władysław Narkiewicz

Publication date: 20 July 2010

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1277811639

zbMATH Keywords

algebraic number fieldsMorton-Silverman conjecturepolynomial cycles

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Dynamical systems over global ground fields (37P15) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)

Related Items (5)

Families of polynomials of every degree with no rational preperiodic points ⋮ Some results on the Flynn–Poonen–Schaefer conjecture ⋮ Lower bounds for regulators of number fields in terms of their discriminants ⋮ On a class of monic binomials ⋮ Rational periodic points of xd + c and Fermat–Catalan equations

Cites Work

• Canonical heights on projective space
• Cycles of quadratic polynomials and rational points on a genus-2 curve
• Rational 6-Cycles Under Iteration of Quadratic Polynomials
• PERIODIC ORBITS OF QUADRATIC POLYNOMIALS
• Arithmetic properties of periodic points of quadratic maps
• Polynomial cycles in certain local domains
• Rational Periodic Points of the Quadratic Function Q c (x) = x 2 + c
• An Elementary Product Identity in Polynomial Dynamics
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