Mobius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold

Jing Ma, Ronghui Wu

Let $\mathbb{T}$ be the unit circle and $\Gamma \setminus G$ the 3-dimensional Heisenberg nilmanifold. We prove that the Möbius function is linearly disjoint from a class of distal skew…