Rational Periodic Points of the Quadratic Function Q c (x) = x 2 + c
From MaRDI portal
Publication:4299954
DOI10.2307/2975624zbMath0804.58036OpenAlexW4250063187MaRDI QIDQ4299954
Publication date: 8 January 1995
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2975624
Polynomials (irreducibility, etc.) (11R09) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)
Related Items (21)
A Galois-dynamics correspondence for unicritical polynomials ⋮ Poonen's conjecture and Ramsey numbers ⋮ Canonical heights on projective space ⋮ Preperiodic points for quadratic polynomials with small cycles over quadratic fields ⋮ Arithmetic properties of 3-cycles of quadratic maps over \(\mathbb{Q}\) ⋮ Unnamed Item ⋮ Cycles of quadratic polynomials and rational points on a genus-2 curve ⋮ Some results on the Flynn–Poonen–Schaefer conjecture ⋮ Survey lecture on arithmetic dynamics ⋮ Galois groups and prime divisors in random quadratic sequences ⋮ A DYNAMICAL SYSTEM PROOF OF NIVEN’S THEOREM AND ITS EXTENSIONS ⋮ Preperiodic portraits for unicritical polynomials over a rational function field ⋮ On Poonen's conjecture concerning rational preperiodic points of quadratic maps ⋮ On a class of monic binomials ⋮ Preperiodic points for quadratic polynomials over cyclotomic quadratic fields ⋮ Cycle-lengths of a class of monic binomials ⋮ Unnamed Item ⋮ Lower bounds on the canonical height associated to the morphism \(\phi(z)= z^d+c\) ⋮ Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials ⋮ Rational periodic points of xd + c and Fermat–Catalan equations ⋮ Simultaneous rational periodic points of degree-2 rational maps
This page was built for publication: Rational Periodic Points of the Quadratic Function Q c (x) = x 2 + c
