Gowers norms for the Thue-Morse and Rudin-Shapiro sequences

DOI10.5802/aif.3285zbMath1466.11011arXiv1611.09985OpenAlexW2973750443WikidataQ127227529 ScholiaQ127227529MaRDI QIDQ2326263

Jakub Konieczny

Publication date: 7 October 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09985

zbMATH Keywords

Thue-Morse sequenceautomatic sequenceGowers normRudin-Shapiro sequence

Mathematics Subject Classification ID

Automata sequences (11B85) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (10)

Automata and finite order elements in the Nottingham group ⋮ Algorithmic classification of noncorrelated binary pattern sequences ⋮ Rudin-Shapiro Sums via Automata Theory and Logic ⋮ Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers ⋮ \(L^\infty\)-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization ⋮ The level of distribution of the Thue–Morse sequence ⋮ The sum-of-digits function on arithmetic progressions ⋮ On uniformity of q‐multiplicative sequences ⋮ Automatic Sequences and Generalised Polynomials ⋮ Monochromatic arithmetic progressions in binary Thue-Morse-like words

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