17 citations · 52 across the 27 of their papers we have counts for
27 papers
Signed Counting on Restricted Partitions and Combinatorial Proofs of Three Identities
Shishuo Fu, Chenwei Wang
Signed enumerations of l-regular partitions by the parity of the number of parts are known to correspond to partitions with congruence conditions. Inspired by the recent combinator…
Partitions with parts separated by parity: conjugation, congruences and the mock theta functions
Shishuo Fu, Dazhao Tang
Noting a curious link between Andrews' even-odd crank and the Stanley rank, we adopt a combinatorial approach building on the map of conjugation and continue the study of integer p…
Burstein's permutation conjecture, Hong and Li's inversion sequence conjecture, and restricted Eulerian distributions
Shane Chern, Shishuo Fu, Zhicong Lin
Recently, Hong and Li launched a systematic study of length-four pattern avoidance in inversion sequences, and in particular, they conjectured that the number of -avoiding in…
An involution on restricted Laguerre histories and its applications
Joanna N. Chen, Shishuo Fu
Laguerre histories (restricted or not) are certain weighted Motzkin paths with two types of level steps. They are, on one hand, in natural bijection with the set of permutations, a…
Combinatorial proofs and refinements of three partition theorems of Andrews
Shishuo Fu
In his recent work, Andrews revisited two-color partitions with certain restrictions on the differences between consecutive parts, and he established three theorems linking these t…
Rooted quasi-Stirling permutations of general multisets
Shishuo Fu, Yanlin Li
Given a general multiset , where appears times, a multipermutation of is called {\em quasi-Stirling}, if…