Michael X. X. Zhong

activity

20132020

collaborators

3 papers

math.CO2020

Congruences Related to Dual Sequences and Catalan Numbers

Rong-Hua Wang, Michael X. X. Zhong

During the study of dual sequences, Sun introduced the polynomials \[ D_n(x,y)=\sum_{k=0}^{n}{n\choose k}{x\choose k}y^k\text{ and } S_n(x,y)=\sum_{k=0}^{n}\binom{n}{k}\binom{x}{k}…

math.CO2017

Proof of a conjecture of Morales-Pak-Panova on reverse plane partitions

Peter L. Guo, C. D. Zhao, Michael X. X. Zhong

Using equivariant cohomology theory, Naruse obtained a hook length formula for the number of standard Young tableaux of skew shape $λ / μ$ . Morales, Pak and Panova found two $q$ -anal…

math.CO2013

Combinatorial Proof of the Inversion Formula on the Kazhdan-Lusztig R-Polynomials

William Y. C. Chen, Neil J. Y. Fan, Alan J. X. Guo +3

Let $W$ be a Coxeter group, and for $u, v \in W$ , let $R_{u, v} (q)$ be the Kazhdan-Lusztig $R$ -polynomial indexed by $u$ and $v$ . In this paper, we present a combinatorial proof of th…