Rarified sums of the Thue-Morse sequence

DOI10.1090/S0002-9947-99-02277-1zbMath0995.11017OpenAlexW1521139088MaRDI QIDQ4699608

Michael Drmota, Mariusz Skałba

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02277-1

zbMATH Keywords

Thue-Morse sequencesummatory functions

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Automata sequences (11B85)

Related Items (12)

Phénomène de Moser-Newman pour les nombres sans facteur carré ⋮ A realization of the Pascal automorphism in the concatenation graph and the sum-of-digits function \(s_2(n)\) ⋮ Regularity of patterns in the factorization of n! ⋮ Rarefied Thue-Morse sums via automata theory and logic ⋮ Bifurcations of digit frequencies in unique expansions ⋮ Newman's phenomenon for generalized Thue-Morse sequences ⋮ Generalized Newman phenomena and digit conjectures on primes ⋮ Coquet-type formulas for the rarefied weighted Thue-Morse sequence ⋮ Counting solutions without zeros or repetitions of a linear congruence and rarefaction in \(b\)-multiplicative sequences ⋮ On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon ⋮ On the race between primes with an odd versus an even sum of the last \(k\) binary digits ⋮ Expansions of generalized Thue-Morse numbers

Cites Work

• Unnamed Item
• A summation formula related to the binary digits
• The fractal structure of rarefied sums of the Thue-Morse sequence
• Remarks on a problem in the ``Elemente
• Fractal digital sums and codes
• Sign-changes of the Thue-Morse fractal function and Dirichlet \(L\)-series
• On the Number of Binary Digits in a Multiple of Three

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