Polynomial cycles in cubic fields of negative discriminant

DOI10.7169/facm/1229442628zbMath1196.37130OpenAlexW2015868478MaRDI QIDQ873782

Władysław Narkiewicz

Publication date: 20 March 2007

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

Full work available at URL: https://projecteuclid.org/euclid.facm/1229442628

zbMATH Keywords

cubic fieldspolynomial mappingscycle lengths

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Polynomials (irreducibility, etc.) (11R09) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (4)

Polynomial cycles in rings of integers in fields of signature (\(0,2\)) ⋮ On multiplicative independence of rational function iterates ⋮ An algorithm determining the set of lengths of polynomial cycles in $Z_K^N$ ⋮ Cycles of polynomial mappings in several variables over discrete valuation rings and over \(\mathbb Z\)

Cites Work

• Polynomial cycles in certain rings of rationals
• Finite polynomial orbits in quadratic rings
• Finite polynomial orbits in finitely generated domains
• Quelques problèmes relatifs aux unités algébriques
• Polynomial cycles in certain local domains
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