Ying Zhong

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3 papers · 1 filter

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…

math.CO2022

Asymptotic formula for the $M_{2}$ -ranks of overpartitions

Helen W. J. Zhang, Ying Zhong

Let $N_{2} (a, c, n)$ be the number of overpartitions of $n$ whose the $M_{2}$ -rank is congruent to $a$ modulo $c$ . In this paper, we obtain the asymptotic formula of $\overlin…

Asymptotics for k-crank of k-colored partitions

Strict Log-Subadditivity for Overpartition Rank

Asymptotic formula for the M2​-ranks of overpartitions

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

Asymptotic formula for the $M_{2}$ -ranks of overpartitions