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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2110.02520 |
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| _version_ | 1866916748446400512 |
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| author | Baake, Michael Bustos, Alvaro Nickel, Andreas |
| author_facet | Baake, Michael Bustos, Alvaro Nickel, Andreas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_02520 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Power-free points in quadratic number fields: Stabiliser, dynamics and entropy Baake, Michael Bustos, Alvaro Nickel, Andreas Dynamical Systems Number Theory 37B10, 11R11, 11R04 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. |
| title | Power-free points in quadratic number fields: Stabiliser, dynamics and entropy |
| topic | Dynamical Systems Number Theory 37B10, 11R11, 11R04 |
| url | https://arxiv.org/abs/2110.02520 |