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- W2963854557 abstract "Assuming Sarnak’s conjecture is true for any singular dynamical process, we prove that the spectral measure of the Mobius function is equivalent to Lebesgue measure. Conversely, under Elliott’s conjecture, we establish that the Mobius function is orthogonal to any uniquely ergodic dynamical system with singular spectrum. Furthermore, using Mirsky’s theorem, we find a new simple proof of Cellarosi–Sinai’s theorem on the orthogonality of the square of the Mobius function with respect to any weakly mixing dynamical system. Finally, we establish Sarnak’s conjecture for a particular random model." @default.
- W2963854557 created "2019-07-30" @default.
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- W2963854557 date "2013-05-21" @default.
- W2963854557 modified "2023-09-25" @default.
- W2963854557 title "Spectral properties of the Möbius function and a random Möbius model" @default.
- W2963854557 hasPublicationYear "2013" @default.
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