Shubin, A. (2023). Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers. Studia Mathematica, 273(3), 201–238. https://doi.org/10.4064/sm220818-3-8
We show that the Möbius function is orthogonal to the Thue–Morse sequence
t(n) taken along the Piatetski-Shapiro numbers ⌊nᶜ⌋ for any 1 < c < 2. Previously,
this property was established for the subsequence along the squares t(n²). These are both examples of Möbius orthogonal sequences with maximum entropy.
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Projekttitel:
Arithmetische Zufälligkeit: I 4945-N (FWF - Österr. Wissenschaftsfonds)
