2 citations · 3 across the 5 of their papers we have counts for
8 papers
Cycles of even-odd drop permutations and continued fractions of Genocchi numbers
Qiongqiong Pan, Jiang Zeng
Recently, Lazar and Wachs (arXiv:1910.07651) showed that the (median) Genocchi numbers play a fundamental role in the study of the homogenized Linial arrangement and obtained two n…
Equidistributions around special kinds of descents and excedances
Bin Han, Jianxi Mao, Jiang Zeng
We consider a sequence of four variable polynomials by refining Stieltjes' continued fraction for Eulerian polynomials. Using combinatorial theory of Jacobi-type continued fraction…
Moments of q-Jacobi Polynomials and q-Zeta Values
Frédéric Chapoton, Christian Krattenthaler, Jiang Zeng
We explore some connections between moments of rescaled little q-Jacobi polynomials, q-analogues of values at negative integers for some Dirichlet series, and the q-Eulerian polyno…
Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures
Bin Han, Jiang Zeng
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al. in 2015. In a recent paper Kitaev and Zhang examined the distribution of the aforeme…
Gap between the largest and smallest parts of partitions and Berkovich and Uncu's conjectures
Wenston J. T. Zang, Jiang Zeng
We prove three main conjectures of Berkovich and Uncu (Ann. Comb. 23 (2019) 263--284) on the inequalities between the numbers of partitions of with bounded gap between largest…
Further equidistribution of set-valued statistics on permutations
Jianxi Mao, Jiang Zeng
We construct bijections to show that two pairs of sextuple set-valued statistics of permutations are equidistributed on symmetric groups. This extends a recent result of Sokal and…