139 citations
- Lyon 1 UniversitéFR4 papers
- Massachusetts Institute of TechnologyUS4 papers
- Institut Camille JordanFR3 papers
- China Center of Advanced Science and TechnologyCN2 papers
- Chinese Academy of SciencesCN2 papers
- East China Normal UniversityCN2 papers
- Howard UniversityUS2 papers
- Institute of High Energy PhysicsCN2 papers
- University of California, IrvineUS2 papers
- Capital Normal UniversityCN1 paper
- Dalian University of TechnologyCN1 paper
- École PolytechniqueFR1 paper
19 papers · 1 filter
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…
G-frames and G-Riesz Bases
Wenchang Sun
G-frames are generalized frames which include ordinary frames, bounded invertible linear operators, as well as many recent generalizations of frames, e.g., bounded quasi-projectors…
Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets
X. J. Wen, X. H. Zhong, G. X. Peng +2
Thermodynamic formulas for investigating systems with density and/or temperature dependent particle masses are generally derived from the fundamental derivation equality of thermod…