Some results on the Flynn–Poonen–Schaefer conjecture

DOI10.4153/S0008439521000588zbMath1505.37111arXiv1903.08865OpenAlexW3196318734WikidataQ113692055 ScholiaQ113692055MaRDI QIDQ5099390

Youssef Fares, Shalom Eliahou

Publication date: 31 August 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08865

zbMATH Keywords

polynomial iterationperiodic pointsdiscrete dynamical systemrational quadratic polynomial

Mathematics Subject Classification ID

Rational points (14G05) Polynomials in number theory (11C08) Special polynomials in general fields (12E10) Polynomials (11S05) Arithmetic properties of periodic points (37P35)

Cites Work

• Unnamed Item
• Poonen's conjecture and Ramsey numbers
• On two affine-like dynamical systems in a local field
• Cycle-lengths of a class of monic binomials
• The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture
• Canonical heights on projective space
• Cycles of quadratic polynomials and rational points on a genus-2 curve
• On a class of monic binomials
• Periodic points on an algebraic variety
• Rational 6-Cycles Under Iteration 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
• Preperiodic points of polynomials over global fields

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