Ya-Li Li

activity

20162021

most citedOn additive representation functions

9 citations · 9 across the 4 of their papers we have counts for

collaborators

4 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…

math.NT2017★ 9 cited

On additive representation functions

Yong-Gao Chen, Hui Lv

Let $A$ be an infinite set of natural numbers. For $n \in N$ , let $r (A, n)$ denote the number of solutions of the equation $n = a + b$ with $a, b \in A, a \leq b$ . Let $∣ A (x) ∣$ be…

math.NT2016

Asymptotic formulas for general colored partition functions

Yong-Gao Chen, Ya-Li Li

In 1917, Hardy and Ramanujan obtained the asymptotic formula for the classical partition function $p (n)$ . The classical partition function $p (n)$ has been extensively studied. Rece…