Recurrence function of the generalized Thue–Morse word

This paper is devoted to the study of the recurrence function of q-ary Thue–Morse word $t_q$. After giving the structure of singular factors, we describe the maximal return time of factors of $t_q$. We conclude by determining the recurrence function of generalized Thue–Morse word.

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Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2026-10-31
DOI
https://doi.org/10.7546/nntdm.2026.32.3.590-609
Primary Topic
semigroups and automata theory
Type
article
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article

Recurrence function of the generalized Thue–Morse word

Idrissa Kaboré, Boucaré Kientéga, Mahamadi Nana
Notes on Number Theory and Discrete Mathematics
semigroups and automata theory
article

Recurrence function of the generalized Thue–Morse word

Idrissa Kaboré, Boucaré Kientéga, Mahamadi Nana
article en

Abstract

This paper is devoted to the study of the recurrence function of q-ary Thue–Morse word $t_q$. After giving the structure of singular factors, we describe the maximal return time of factors of $t_q$. We conclude by determining the recurrence function of generalized Thue–Morse word.

Notes on Number Theory and Discrete MathematicsVol. 32(3)
Nazi Boni University (BF)
Openalex Percentile: Top 14%
semigroups and automata theory
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Recurrence function of the generalized Thue–Morse word — Idrissa Kaboré, Boucaré Kientéga, et al. · Notes on Number Theory and Discrete Mathematics (2026) | TGRS Research Map | TGRS