328 citations
- Institute of High Energy PhysicsCN6 papers
- Massachusetts Institute of TechnologyUS5 papers
- Lyon 1 UniversitéFR4 papers
- China Center of Advanced Science and TechnologyCN3 papers
- Chinese Academy of SciencesCN3 papers
- Institut Camille JordanFR3 papers
- University of HaifaIL3 papers
- East China Normal UniversityCN2 papers
- Howard UniversityUS2 papers
- Institute of Theoretical PhysicsCN2 papers
- Laboratoire d'Informatique Gaspard-MongeFR2 papers
- Northeast Normal UniversityCN2 papers
15 papers · 2 filters
Weighted Forms of Euler's Theorem
William Y. C. Chen, Kathy Q. Ji
In answer to a question of Andrews about finding combinatorial proofs of two identities in Ramanujan's "Lost" Notebook, we obtain weighted forms of Euler's theorem on partitions wi…
Noncrossing Trees and Noncrossing Graphs
William Y. C. Chen, Sherry H. F. Yan
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a…
Matrix Identities on Weighted Partial Motzkin Paths
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro +1
We give a combinatorial interpretation of a matrix identity on Catalan numbers and the sequence which has been derived by Shapiro, Woan and Getu by using Ri…
Stanley's Zrank Problem on Skew Partitions
William Y. C. Chen, Arthur L. B. Yang
We present an affirmative answer to Stanley's zrank problem, namely, the zrank and rank are equal for any skew partition. We show that certain classes of restricted Cauchy matrices…
The Zrank Conjecture and Restricted Cauchy Matrices
Guo-Guang Yan, Arthur L. B. Yang, Joan J. Zhou
The rank of a skew partition , denoted , is the smallest number such that is a disjoint union of border strips. Let denote the skew Sch…
Division and the Giambelli Identity
Susan Y. J. Wu, Arthur L. B. Yang
Given two polynomials f(x) and g(x), we extend the formula expressing the remainder in terms of the roots of these two polynomials to the case where f(x) is a Laurent polynomial. T…