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

Abstract

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 products on $\mathbb{T}\times \Gamma \setminus G$. These results generalize a recent work of Huang-Liu-Wang.

arXiv admin note: substantial text overlap with arXiv:1907.01735 by other authors