Abstract
Abstract We show that for $\varepsilon> 0$, every $C^{1+\varepsilon }$ skew product on $\mathbb{T}^2$ over a rotation of $\mathbb{T}^1$ satisfies Sarnak’s conjecture. This is an improvement of earlier results of Kułaga–Przymus–Lemańczyk, Huang–Wang–Ye, and Kanigowski–Lemańczyk–Radziwiłł.
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