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Bibliographic Details
Main Author: Mountakis, Andreas
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2203.13804
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Table of Contents:
  • We construct a set of strong recurrence which is not a van der Corput set. This shows that the class of enhanced van der Corput sets is a proper subclass of sets of strong recurrence. In addition, we derive that the class of sets of strong recurrence is not a subclass of van der Corput sets. This answers some questions asked by Bergelson and Lesigne.