Helen W. J. Zhang

collaborators

3 papers

math.NT2023

Inequalities for the $k$ -Regular Overpartitions

Yi Peng, Helen W. J. Zhang, Ying Zhong

Bessenrodt and Ono, Chen, Wang and Jia, DeSalvo and Pak were the first to discover the log-subadditivity, log-concavity, and the third-order Turán inequality of partition function,…

math.CO2023

Asymptotics for $k$ -crank of $k$ -colored partitions

Helen W. J. Zhang, Ying Zhong

In this paper, we obtain asymptotic formulas for $k$ -crank of $k$ -colored partitions. Let $M_{k} (a, c; n)$ denote the number of $k$ -colored partitions of $n$ with a $k$ -crank congrue…

math.CO2022

Strict Log-Subadditivity for Overpartition Rank

Helen W. J. Zhang, Ying Zhong

Bessenrodt and Ono initially found the strict log-subadditivity of partition function $p (n)$ , that is, $p (a + b) < p (a) p (b)$ for $a, b > 1$ and $a + b > 9$ . Many other important statistics o…

Inequalities for the k-Regular Overpartitions

Asymptotics for k-crank of k-colored partitions

Strict Log-Subadditivity for Overpartition Rank

Inequalities for the $k$ -Regular Overpartitions

Asymptotics for $k$ -crank of $k$ -colored partitions