81 citations · 484 across the 73 of their papers we have counts for
5 papers · 2 filters
Enumerating Wreath Products Via Garsia-Gessel Bijections
Riccardo Biagioli, Jiang Zeng
We generalize two bijections due to Garsia and Gessel to compute the generating functions of the two vector statistics $(\des_G, \maj,\ell_G, \col)$ and $(\des_G, \ides_G, \maj, \i…
On some analogues of Carlitz's identity for the hyperoctahedral group
Riccardo Biagioli, Jiang Zeng
We give a new description of the flag major index, introduced by Adin and Roichman, by using a major index defined by Reiner. This allows us to establish a connection between an id…
An involution for symmetry of hook length and part length of partitions
Heesung Shin, Jiang Zeng
A {\em pointed partition} of is a pair where and is a cell in its Ferrers diagram. We construct an involution on pointed partitions of exchanging "…
Combinatorial interpretations of the Jacobi-Stirling numbers
Yoann Gelineau, Jiang Zeng
The Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers. Andrews an…
Pairs of lattice paths and positive trigonometric sums
Victor J. W. Guo, Jiang Zeng
Ismail et al. (Constr. Approx. {\bf 15} (1999) 69--81) proved the positivity of some trigonometric polynomials with single binomial coefficients. In this paper, we prove some simil…