Hao Zhou

collaborators

2 papers

math.CO2019

On self-conjugate $(s, s + 1, \dots, s + k)$ -core partitions

Sherry H. F. Yan, Yao Yu, Hao Zhou

Simultaneous core partitions have been widely studied since Anderson's work on the enumeration of $(s, t)$ -core partitions. Amdeberhan and Leven showed that the number of $(s,s+1, \…

math.CO2019

A new encoding of permutations by Laguerre histories

Sherry H. F. Yan, Hao Zhou, Zhicong Lin

We construct a bijection from permutations to some weighted Motzkin paths known as Laguerre histories. As one application of our bijection, a neat $q$ - $γ$ -positivity expansion of t…

On self-conjugate (s,s+1,…,s+k)-core partitions

A new encoding of permutations by Laguerre histories

On self-conjugate $(s, s + 1, \dots, s + k)$ -core partitions