Finite polynomial orbits in quadratic rings

DOI10.1007/S11139-006-9578-ZzbMath1122.11069OpenAlexW2072407153MaRDI QIDQ851249

Władysław Narkiewicz, Roman Marszałek

Publication date: 17 November 2006

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-9578-z

zbMATH Keywords

algebraic dynamicsquadratic integerspolynomial maps, polynomial cycles

Mathematics Subject Classification ID

Quadratic extensions (11R11) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials (irreducibility, etc.) (11R09)

Related Items (3)

Bounds for preperiodic points for maps with good reduction ⋮ Polynomial cycles in cubic fields of negative discriminant ⋮ On multiplicative independence of rational function iterates

Uses Software

• KANT/KASH
• PARI/GP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture
• Cycles of polynomial mappings in several variables
• Finite polynomial orbits in finitely generated domains
• Cycles of quadratic polynomials and rational points on a genus-2 curve
• Periodic points on an algebraic variety
• Les points exceptionnels rationnels sur certaine cubique du premier genre
• Polynomial cycles in algebraic number fields
• Arithmetic properties of periodic points of quadratic maps, II
• Polynomial cycles in certain local domains
• Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals

This page was built for publication: Finite polynomial orbits in quadratic rings