On a Bohr set analogue of Chowla's conjecture

Joni Teräväinen, Aled Walker

Let $\lambda$ denote the Liouville function. We show that the logarithmic mean of $\lambda (\lfloor {\alpha }_{1}n\rfloor )\lambda (\lfloor {\alpha }_{2}n\rfloor )$ is $0$ whenever ${\alpha }_1,{\alpha }_2$ are positive reals with $α_1/α_…