The level of distribution of the Thue–Morse sequence
DOI10.1112/S0010437X20007563zbMath1468.11206arXiv1803.01689MaRDI QIDQ5150223
Publication date: 10 February 2021
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.01689
arithmetic progressionlevel of distributionThue-Morse sequenceElliott-Halberstam conjecturenormal sequenceBombieri-Vinogradov theoremPiatetski-Shapiro sequenceGel'fond problem
Distribution of integers in special residue classes (11N69) Special sequences and polynomials (11B83) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Automata sequences (11B85) Arithmetic progressions (11B25)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Subsequences of automatic sequences indexed by \(\lfloor n^c \rfloor\) and correlations
- Thue-Morse at multiples of an integer
- Primes in arithmetic progressions to large moduli. II
- The sum of digits of squares
- Primes in tuples. I
- Around the Bombieri-Vinogradov theorem
- On a problem of Gelfond: the sum of digits of prime numbers
- Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri
- Primes in arithmetic progressions to large moduli
- A new proof of Szemerédi's theorem for arithmetic progressions of length four
- Normality along squares
- Sums of digits and almost primes
- Gowers norms for the Thue-Morse and Rudin-Shapiro sequences
- Levels of distribution and the affine sieve
- The primes contain arbitrarily long arithmetic progressions
- Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences. II
- Bounded gaps between primes
- On the subword complexity of Thue-Morse polynomial extractions
- Nombres premiers de la forme ⌊nc⌋
- Piatetski-Shapiro sequences via Beatty sequences
- The sum of digits of \lfloor nc\rfloor
- An arithmetic regularity lemma, associated counting lemma, and applications
- Méthodes de crible et fonctions sommes des chiffres
- Théorème des nombres premiers pour les fonctions digitales
- CONGRUENCES DE SOMMES DE CHIFFRES DE VALEURS POLYNOMIALES
- NORMALITY OF THE THUE–MORSE SEQUENCE ALONG PIATETSKI-SHAPIRO SEQUENCES
- Primes in Arithmetic Progressions to Large Moduli. III
- On a theorem of Bombieri–Vinogradov type
- Répartition des suites dans les progressions arithmétiques
- Automatic Sequences
- Répartition des fonctions q-multiplicatives dans la suite $([n^c)_{n∈ ℕ}$, c > 1]
- Propriétés q-multiplicatives de la suite \lfloor nc\rfloor, c>1
- Sur les nombres qui ont des propriétés additives et multiplicatives données
- The Sum-of-Digits Function of Squares
- Small gaps between primes
- A new proof of Szemerédi's theorem
- Multiplicative properties of the Thue-Morse sequence
This page was built for publication: The level of distribution of the Thue–Morse sequence