Generalized Thue-Morse sequences of squares

DOI10.1007/s11856-011-0186-2zbMath1276.11014OpenAlexW2059004789MaRDI QIDQ1760396

Michael Drmota, Johannes F. Morgenbesser

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0186-2

zbMATH Keywords

uniform distributionautomatic sequenceletter frequencyq-multiplicative function

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Density, gaps, topology (11B05) Automata sequences (11B85) Well-distributed sequences and other variations (11K36)

Related Items (11)

Automatic sequences as good weights for ergodic theorems ⋮ Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II ⋮ Rudin–Shapiro sequences along squares ⋮ Répartition des fonctions complètement $Q$-additives le long des carrés de polynômes sur un corps fini ⋮ Subsequences of automatic sequences indexed by \(\lfloor n^c \rfloor\) and correlations ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold ⋮ Counting solutions without zeros or repetitions of a linear congruence and rarefaction in \(b\)-multiplicative sequences ⋮ The modular distribution of Stern’s sequence ⋮ Möbius orthogonality for \(q\)-semimultiplicative sequences ⋮ (Logarithmic) densities for automatic sequences along primes and squares

Cites Work

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• The sum of digits of squares
• Substitutions in dynamics, arithmetics and combinatorics
• On a problem of Gelfond: the sum of digits of prime numbers
• Polynomial subsequences of certain automatic sequences
• On the subword complexity of Thue-Morse polynomial extractions
• Zur formalen Theorie der Gleichverteilung in kompakten Gruppen
• Block additive functions on the Gaussian integers
• Generalized Rudin-Shapiro sequences
• Automatic Sequences
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Multiplicative properties of the Thue-Morse sequence

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