Piatetski-Shapiro sequences

Roger C. Baker, William D. Banks, Jörg Brüdern +2

We consider various arithmetic questions for the Piatetski-Shapiro sequences $\fl{n^c}$ ($n=1,2,3,...$) with $c>1$, $c\notin \mathbb{N}$. We exhibit a positive function $\theta (c)$ with the pro…