Power-free points in quadratic number fields: Stabiliser, dynamics and entropy
Dynamical Systems
2025-05-22 v2 Number Theory
Abstract
The sets of -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.
Cite
@article{arxiv.2110.02520,
title = {Power-free points in quadratic number fields: Stabiliser, dynamics and entropy},
author = {Michael Baake and Alvaro Bustos and Andreas Nickel},
journal= {arXiv preprint arXiv:2110.02520},
year = {2025}
}
Comments
26 pages, revised and improved version