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Stirling numbers and periodic points

Lookup NU author(s): Professor Tom WardORCiD

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This is the authors' accepted manuscript of an article that has been published in its final definitive form by Polish Academy of Sciences, 2021.

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Abstract

We introduce the notion of `almost realizability', an arithmetic generalization of `realizability' for integer sequences, which is the property of 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.

Publication metadata

Author(s): Miska P, Ward T

Publication type: Article

Publication status: Published

Journal: Acta Arithmetica

Year: 2021

Volume: 201

Issue: 4

Pages: 421-435

Online publication date: 15/11/2021

Acceptance date: 26/07/2021

Date deposited: 30/07/2021

ISSN (print): 0065-1036

ISSN (electronic): 1730-6264

Publisher: Polish Academy of Sciences

URL: https://doi.org/10.4064/aa210309-9-8

DOI: 10.4064/aa210309-9-8

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