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On monochromatic arithmetic progressions in binary words associated with pattern sequences

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Publication:6615221
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DOI10.1016/J.TCS.2024.114815MaRDI QIDQ6615221

Bartosz Sobolewski

Publication date: 8 October 2024

Published in: Theoretical Computer Science (Search for Journal in Brave)




zbMATH Keywords

Thue-Morse sequenceautomatic sequencesbinary wordsmonochromatic arithmetic progressionRudin-Shapiro sequencepattern sequences


Mathematics Subject Classification ID

Theory of computing (68Qxx)


Cites Work

  • Thue-Morse at multiples of an integer
  • The ring of \(k\)-regular sequences
  • Beweis einer Baudetschen Vermutung.
  • On arithmetic index in the generalized Thue-Morse word
  • Monochromatic arithmetic progressions in binary Thue-Morse-like words
  • Sequences of low arithmetical complexity
  • Automatic Sequences
  • Sur les nombres qui ont des propriétés additives et multiplicatives données
  • Monochromatic arithmetic progressions in automatic sequences with group structure







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