Julia Robinson numbers and arithmetical dynamic of quadratic polynomials

DOI10.1512/iumj.2020.69.7928zbMath1458.11152arXiv1711.00490OpenAlexW3036524719WikidataQ121185601 ScholiaQ121185601MaRDI QIDQ5109737

Marianela Castillo, Xavier Vidaux, Carlos R. Videla

Publication date: 13 May 2020

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00490

zbMATH Keywords

wreath productJulia Robinson numberiterates of quadratic polynomialstotally real algebraic numberstotally real towers

Mathematics Subject Classification ID

Galois theory (11R32) Quadratic extensions (11R11) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Totally real fields (11R80)

Related Items

Northcott numbers for the house and the Weil height, Northcott numbers for the weighted Weil heights, Definability and decidability for rings of integers in totally imaginary fields, Undecidability, unit groups, and some totally imaginary infinite extensions of ℚ, Julia Robinson numbers, Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's

Cites Work

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• Galois group over \(\mathbb{Q}\) of some iterated polynomials
• A note on the Northcott property and undecidability
• Definability of the natural numbers in totally real towers of nested square roots
• The Rank and Generating Set for Iterated Wreath Products of Cyclic Groups
• The Galois Theory of Iterates and Composites of Polynomials
• UNDECIDABILITY OF FAMILIES OF RINGS OF TOTALLY REAL INTEGERS
• Number fields