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Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers
We show that the Möbius function is orthogonal to the Thue–Morse sequence $t(n)$ taken along the Piatetski-Shapiro numbers $\lfloor n^c\rfloor$ for any $1 \lt c \lt 2$. Previously, this property was established for the subsequence along the squares $t(n^2