Normality along squares

DOI10.4171/JEMS/843zbMath1430.11010OpenAlexW2898526269WikidataQ129032559 ScholiaQ129032559MaRDI QIDQ1725579

Christian Mauduit, Joël Rivat, Michael Drmota

Publication date: 14 February 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/843

zbMATH Keywords

correlationexponential sumsThue-Morse sequencenormal sequences

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Automata sequences (11B85)

Related Items (19)

Maximum order complexity of the sum of digits function in Zeckendorf base and polynomial subsequences ⋮ How to prove that a sequence is not automatic ⋮ On the maximum order complexity of Thue-Morse and Rudin-Shapiro sequences along polynomial values ⋮ Normality of the Thue-Morse function for finite fields along polynomial values ⋮ Pseudorandom sequences derived from automatic sequences ⋮ Möbius orthogonality of sequences with maximal entropy ⋮ The truncated sum of digits function of polynomial sequences ⋮ Algorithmic classification of noncorrelated binary pattern sequences ⋮ The truncated sum-of-digits function of powers ⋮ An arithmetical property of the real numbers generated by Thue-Morse sequence along squares ⋮ 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 ⋮ On the distribution of the Rudin-Shapiro function for finite fields ⋮ On subwords in the base-$q$ expansion of polynomial and exponential functions ⋮ The sum of digits function of the base phi expansion of the natural numbers ⋮ Gowers norms for the Thue-Morse and Rudin-Shapiro sequences ⋮ Prime numbers in two bases ⋮ (Logarithmic) densities for automatic sequences along primes and squares

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