Bracket words along Hardy field sequences

Combinatorics on words (68R15) Asymptotic results on arithmetic functions (11N37) Small fractional parts of polynomials and generalizations (11J54) Sums over primes (11L20) Sequences (mod (m)) (11B50) Homogeneous flows (37A17)

Cites Work

On the correlation of the Moebius function with rank-one systems
The quantitative behaviour of polynomial orbits on nilmanifolds
The Möbius function is strongly orthogonal to nilsequences
Subsequences of automatic sequences indexed by $\lfloor n^c \rfloor$ and correlations
On spectral disjointness of powers for rank-one transformations and Möbius orthogonality
Prime numbers along Rudin-Shapiro sequences
The Möbius function and continuous extensions of rotations
On a problem of Gelfond: the sum of digits of prime numbers
Uniform distribution and Hardy fields
Möbius disjointness for homogeneous dynamics
Fixed points of Sturmian morphisms and their derivated words
Automatic sequences fulfill the Sarnak conjecture
The Möbius function and distal flows
Distribution of values of bounded generalized polynomials
Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II
Equidistribution of sparse sequences on nilmanifolds
Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture
On (Not) Computing the Möbius Function Using Bounded Depth Circuits
0-1 sequences of the Thue-Morse type and Sarnak’s conjecture
Odometers and Toeplitz systems revisited in the context of Sarnak's conjecture
NORMALITY OF THE THUE–MORSE SEQUENCE ALONG PIATETSKI-SHAPIRO SEQUENCES
Répartition des fonctions q-multiplicatives dans la suite $([n^c)_{n∈ ℕ}$, c > 1]
Disjointness of Moebius from Horocycle Flows
The level of distribution of the Thue–Morse sequence
Propriétés q-multiplicatives de la suite \lfloor n^c\rfloor, c>1
Möbius orthogonality for generalized Morse-Kakutani flows
Higher uniformity of arithmetic functions in short intervals I. All intervals
Bracket words: A generalisation of Sturmian words arising from generalised polynomials

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