Ya-Li Li

collaborators

2 papers

math.NT2021

Partitions into Piatetski-Shapiro sequences

Nian Hong Zhou, Ya-Li Li

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

math.NT2019

Power partitions and saddle-point method

Gérald Tenenbaum, Jie Wu, Yali Li

For $k ⩾ 1$ , denote by $p_{k} (n)$ the number of partitions of an integer $n$ into $k$ -th powers. In this note, we apply the saddle-point method to provide a new proof for the…