Better than square-root cancellation in Piatetski-Shapiro sequences

Renjie Zhu, Tianping Zhang

In this paper, we investigate whether the better than square-root cancellation phenomenon exists for ${\sum }_{n\le X,n\in \mathcal{A}}^{}f(n)$ when $\mathcal{A}$ is a Piatetski-Shap…