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On the correlation of the Moebius function with rank-one systems. (English) Zbl 1358.37017

Summary: We explore the “Moebius disjointness property” in the special context of rank-one transformations and verify this phenomenon for many of the “classical” models.

MSC:

37A30 Ergodic theorems, spectral theory, Markov operators
11L20 Sums over primes
11N37 Asymptotic results on arithmetic functions
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References:

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