17 citations · 30 across the 13 of their papers we have counts for
4 papers · 2 filters
From -Stirling numbers to the Delta Conjecture: a viewpoint from vincular patterns
Joanna N. Chen, Shishuo Fu
The distribution of certain Mahonian statistic (called ) introduced by Babson and Steingrímsson over the set of permutations that avoid vincular pattern $1\underline…
-Catalan numbers: gamma expansions, pattern avoidance and the -phenomenon
Shishuo Fu, Dazhao Tang, Bin Han +1
The aim of this paper is two-fold. We first prove several new interpretations of a kind of -Catalan numbers along with their corresponding -expansions using pattern avoid…
Multi-dimensional -summations and multi-colored partitions
Shane Chern, Shishuo Fu, Dazhao Tang
Motivated by Alladi's recent multi-dimensional generalization of Sylvester's classical identity, we provide a simple combinatorial proof of an overpartition analogue, which contain…
On certain unimodal sequences and strict partitions
Shishuo Fu, Dazhao Tang
Building on a bijection of Vandervelde, we enumerate certain unimodal sequences whose alternating sum equals zero. This enables us to refine the enumeration of strict partitions wi…