Linear independence of the real numbers generated by the square and cube subsequences of Thue-Morse

DOI10.1007/s10474-024-01417-yMaRDI QIDQ6548006

Eiji Miyanohara

Publication date: 31 May 2024

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

linear independenceThue-MorseThue-Morse along squaresThue-Morse along cubes

Mathematics Subject Classification ID

Automata sequences (11B85) Irrationality; linear independence over a field (11J72)

Cites Work

• The sum of digits of squares
• Transcendence of numbers with a low complexity expansion
• Normality along squares
• Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen.
• On the complexity of algebraic numbers
• Mahler functions and transcendence
• On the subword complexity of Thue-Morse polynomial extractions
• On the complexity of algebraic numbers. I: Expansions in integer bases
• Automatic Sequences
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• An arithmetical property of the real numbers generated by Thue-Morse sequence along squares
• A height gap theorem for coefficients of Mahler functions

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