Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II

DOI10.1007/s11856-017-1531-xzbMath1400.11119arXiv1511.01671OpenAlexW2127832857MaRDI QIDQ2408025

Lukas Spiegelhofer, Clemens Müllner

Publication date: 9 October 2017

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

Full work available at URL: https://arxiv.org/abs/1511.01671

zbMATH Keywords

Thue-Morse sequences

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Arithmetic progressions (11B25)

Related Items (13)

Kloosterman sums with twice-differentiable functions ⋮ The subword complexity of polynomial subsequences of the Thue-Morse sequence ⋮ Pseudorandom sequences derived from automatic sequences ⋮ Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ The level of distribution of the Thue–Morse sequence ⋮ The sum-of-digits function on arithmetic progressions ⋮ On uniformity of q‐multiplicative sequences ⋮ RANDOMNESS AND NON‐RANDOMNESS PROPERTIES OF PIATETSKI‐SHAPIRO SEQUENCES MODULO m ⋮ Spectral properties of pattern sequences of general degrees ⋮ Gowers norms for the Thue-Morse and Rudin-Shapiro sequences ⋮ MULTIDIMENSIONAL VAN DER CORPUT SETS AND SMALL FRACTIONAL PARTS OF POLYNOMIALS ⋮ Monochromatic arithmetic progressions in binary Thue-Morse-like words

Cites Work

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• Subsequences of automatic sequences indexed by \(\lfloor n^c \rfloor\) and correlations
• The sum of digits of squares
• On a problem of Gelfond: the sum of digits of prime numbers
• Generalized Thue-Morse sequences of squares
• Enumeration of factors in the Thue-Morse word
• Sums of digits and almost primes
• On the subword complexity of Thue-Morse polynomial extractions
• Nombres premiers de la forme ⌊n^c⌋
• Piatetski-Shapiro sequences via Beatty sequences
• CONGRUENCES DE SOMMES DE CHIFFRES DE VALEURS POLYNOMIALES
• NORMALITY OF THE THUE–MORSE SEQUENCE ALONG PIATETSKI-SHAPIRO SEQUENCES
• The analytic principle of the large sieve
• Automatic Sequences
• Répartition des fonctions q-multiplicatives dans la suite $([n^c)_{n∈ ℕ}$, c > 1]
• The sum-of-digits function of polynomial sequences
• Propriétés q-multiplicatives de la suite \lfloor n^c\rfloor, c>1
• On the large sieve
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Multiplicative properties of the Thue-Morse sequence

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