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An asymptotic version of Cobham’s theorem

Volume 211 / 2023

Jakub Konieczny Acta Arithmetica 211 (2023), 323-343 MSC: Primary 11B85; Secondary 68Q45. DOI: 10.4064/aa220927-17-8 Published online: 8 November 2023

Abstract

We introduce the notion of an asymptotically automatic sequence, which generalises the notion of an automatic sequence, and we prove a variant of Cobham’s theorem for the newly introduced class of sequences.

Authors

  • Jakub KoniecznyUniversité Claude Bernard Lyon 1
    CNRS UMR 5208
    Institut Camille Jordan
    F-69622 Villeurbanne Cedex, France
    e-mail

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