Proves that a class of skew products on the circle and Heisenberg nilmanifold are distal and Möbius-disjoint, verifying Sarnak's conjecture for these systems.
It is therefore possible to generalize our Theorem 1.1 t o the case of absolutely continuousϕ and ψ by similar arguments
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M\"{o}bius disjointness for skew products on a circle and a nilmanifold
Proves that a class of skew products on the circle and Heisenberg nilmanifold are distal and Möbius-disjoint, verifying Sarnak's conjecture for these systems.