Stirling numbers and periodic points
Volume 201 / 2021
Acta Arithmetica 201 (2021), 421-435
MSC: Primary 37P35; Secondary 11B73.
DOI: 10.4064/aa210309-9-8
Published online: 15 November 2021
Abstract
We introduce the notion of ‘almost realizability’, an arithmetic generalization of ‘realizability’ for integer sequences, which is the property of numbers counting periodic points for some map. We characterize the intersection between the set of Stirling sequences (of both the first and the second kind) and the set of almost realizable sequences.
