98 citations
- University of PennsylvaniaUS5 papers
- Boston UniversityUS4 papers
- Massachusetts Institute of TechnologyUS4 papers
- Bowdoin CollegeUS3 papers
- Aarhus UniversityDK2 papers
- Brown UniversityUS2 papers
- California Institute of TechnologyUS2 papers
- Harvard UniversityUS2 papers
- Middle East Technical UniversityTR2 papers
- Nankai UniversityCN2 papers
- Tokyo Institute of TechnologyJP2 papers
- Bates CollegeUS1 paper
5 papers · 2 filters
A Short Proof of the Zeilberger-Bressoud -Dyson Theorem
Ira M. Gessel, Guoce Xin
We give a formal Laurent series proof of Andrews's -Dyson Conjecture, first proved by Zeilberger and Bressoud.
A combinatorial proof of Postnikov's identity and a generalized enumeration of labeled trees
Seunghyun Seo
In this paper, we give a simple combinatorial explanation of a formula of A. Postnikov relating bicolored rooted trees to bicolored binary trees. We also present generalized formul…
A Residue Theorem for Malcev-Neumann Series
Guoce Xin
In this paper, we establish a residue theorem for Malcev-Neumann series that requires few constraints, and includes previously known combinatorial residue theorems as special cases…
Cyclic descents and P-partitions
T. Kyle Petersen
Louis Solomon showed that the group algebra of the symmetric group has a subalgebra called the descent algebra, generated by sums of permutations with a given de…
A triple lacunary generating function for Hermite polynomials
Ira M. Gessel, Pallavi Jayawant
Some of the classical orthogonal polynomials such as Hermite, Laguerre, Charlier, etc. have been shown to be the generating polynomials for certain combinatorial objects. These com…