19 citations · 110 across the 59 of their papers we have counts for
65 papers
Dilated Hankel determinants
Guo-Niu Han
For a sequence we define its dilated Hankel determinant , the minor of the infinite Hankel matri…
On the distributions of the statistics (des, maj, inv) over several classes of permutations
Guo-Niu Han, Kathy Q. Ji, Huan Xiong
We investigate the joint distribution of the trivariate statistics (des, maj, inv) on classical permutations, Andre permutations of the first and second kinds, and Simsun permutati…
The 1/2-Conjecture for -Binomial Coefficients with Fractional Index
Guo-Niu Han, Huan Xiong
For a nonnegative integer and a rational number , we define the generalized Gaussian binomial coefficient $\qbinom{r+k}{k} = \frac{(q^{r+1}; q)_k}{(q; q)_k}$.…
The inversion number statistic for inversion sequences
Lora R. Du, Guo-Niu Han
Inversion sequences, also known as subexcedant sequences, form a fundamental class of objects in enumerative combinatorics. In this paper, we study the joint distribution of five s…
-Derivative Grammar
Guo-Niu Han, Kathy Q. Ji, Huan Xiong
Context-free grammars, originating in computer science, are related to enumerative combinatorics through two distinct lines of development pioneered by Schützenberger and Chen, res…
Yet another doubly refined enumeration of Alternating Sign Matrices
Guo-Niu Han, Lihong Yang
Since the alternating sign matrix conjecture, proposed by Mills, Robbins, and Rumsey in 1982, was proved by Zeilberger and Kuperberg, several refined enumerations have been conside…