328 citations
- Institute of High Energy PhysicsCN14 papers
- Chinese Academy of SciencesCN8 papers
- Peking UniversityCN7 papers
- China Center of Advanced Science and TechnologyCN6 papers
- Sichuan UniversityCN6 papers
- Tsinghua UniversityCN6 papers
- University of Science and Technology of ChinaCN6 papers
- Central China Normal UniversityCN5 papers
- Guangxi Normal UniversityCN5 papers
- Guangxi UniversityCN5 papers
- Henan Normal UniversityCN5 papers
- Hunan UniversityCN5 papers
33 papers · 1 filter
Labeled Partitions with Colored Permutations
William Y. C. Chen, Henry Y. Gao, Jia He
In this paper, we extend the notion of labeled partitions with ordinary permutations to colored permutations in the sense that the colors are endowed with a cyclic structure. We us…
The critical number of finite abelian groups
Michael Freeze, Weidong Gao, Alfred Geroldinger
Let G be an additive, finite abelian group. The critical number of is the smallest positive integer such that for every subset $S \subset G \setminus \{…
The q-Log-convexity of the Generating Functions of the Squares of Binomial Coefficients
William Y. C. Chen, Robert L. Tang, Larry X. W. Wang +1
We prove a conjecture of Liu and Wang on the q-log-convexity of the polynomial sequence . By using Pieri's rule and the Jacobi-Trudi id…
Dynamical symmetry of Dirac hydrogen atom with spin symmetry and its connection with Ginocchio's oscillator
Fu-Lin Zhang, Bo Fu, Jing-Ling Chen
The Dirac hydrogen atom with spin symmetry is shown has a SO(4) symmetry. The generators are derived, and the corresponding Casimir operator leads to the energy spectrum naturally.…
Enumeration of bilaterally symmetric 3-noncrossing partitions
Guoce Xin, Terence Y. J. Zhang
Schutzenberger's theorem for the ordinary RSK correspondence naturally extends to Chen et. al's correspondence for matchings and partitions. Thus the counting of bilaterally symmet…
On the Combinatorics of the Boros-Moll Polynomials
William Y. C. Chen, Sabrina X. M. Pang, Ellen X. Y. Qu
The Boros-Moll polynomials arise in the evaluation of a quartic integral. The original double summation formula does not imply the fact that the coefficients of these polynomials a…