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<p>The sets of <i>k</i>-free integers in general quadratic number fields are studied, with special emphasis on (extended) symmetries and their impact on the topological dynamical systems induced by such integers. We establish correspondences between number-theoretic and dynamical quantities, and use symmetries and entropy to distinguish the systems.</p>

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Power-free points in quadratic number fields: Stabiliser, dynamics and entropy

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月20日

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  • Michael Baake,
  • Álvaro Bustos,
  • Andreas Nickel

摘要

The sets of k-free integers in general quadratic number fields are studied, with special emphasis on (extended) symmetries and their impact on the topological dynamical systems induced by such integers. We establish correspondences between number-theoretic and dynamical quantities, and use symmetries and entropy to distinguish the systems.