Partitions into Piatetski-Shapiro sequences

Nian Hong Zhou, Ya-Li Li

Let $\kappa$ be a positive real number and $m\in \mathbb{N}\cup \{\infty \}$ be given. Let $p_{\kappa ,m}(n)$ denote the number of partitions of $n$ into the parts from the Piatestki-Shapiro se…