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Integer sequences and dynamics. (English) Zbl 1460.11033

Korpelainen, Nicholas (ed.), TCDM 2018. Proceedings of the 2nd IMA conference on theoretical and computational discrete mathematics, University of Derby, Derby, UK, September 14–15, 2018. Part 1. Amsterdam: Elsevier. Electron. Notes Discrete Math. 70, 83-88 (2018).
Summary: Integer sequences express and capture many important concepts in number theory. They also arise naturally in some parts of dynamical systems, and we will explain some of the questions and relationships that arise in looking at integer sequences from these two perspectives. One of these connections occurs between prime numbers and closed orbits. In algebraic and geometric settings, there are hints of a quite widespread Pólya-Carlson dichotomy.
For the entire collection see [Zbl 1409.68021].

MSC:

11B83 Special sequences and polynomials
37A44 Relations between ergodic theory and number theory
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