On the local Fourier uniformity problem for small sets

Adam Kanigowski, Mariusz Lemańczyk, Florian Karl Richter +1

We consider vanishing properties of exponential sums of the Liouville function $\lambda$ of the form $$ \lim_{H\to\infty}\limsup_{X\to\infty}\frac{1}{\log X}\sum_{m\leq X}\frac{1}{m}\sup…