113 citations
- Chinese Academy of SciencesCN2 papers
- Nanjing University of Aeronautics and AstronauticsCN2 papers
- Purple Mountain ObservatoryCN2 papers
- California State University, NorthridgeUS1 paper
- Illinois Institute of TechnologyUS1 paper
- Institute of Mathematics, Academia SinicaTW1 paper
- International Centre for Materials PhysicsCN1 paper
- Lehigh UniversityUS1 paper
- Nanjing Audit UniversityCN1 paper
- Nanjing Normal UniversityCN1 paper
- National Astronomical ObservatoriesCN1 paper
- National Astronomical Observatory of JapanJP1 paper
28 papers
A combinatorial identity with application to Catalan numbers
Hao Pan, Zhi-Wei Sun
By a very simple argument, we prove that if are nonnegative integers then $$\sum_{k=0}^l(-1)^{m-k}\binom{l}{k}\binom{m-k}{n}\binom{2k}{k-2l+m} =\sum_{k=0}^l\binom{l}{k}\bin…
Jahn-Teller distortion induced charge-ordering in CE phase of manganites
S. Dong, S. Dai, X. Y. Yao +3
The charge order of CE phase in half-doped manganites is studied, based on an argument that the charge-ordering is caused by the Jahn-Teller distortions of MnO6 octahedra rather th…
A congruence involving products of -binomial coefficients
Hao Pan, Hui-Qin Cao
In this paper we establish a -analogue of a congruence of Sun concerning the products of binomial coefficients modulo the square of a prime.
Numerical simulations of negative-index refraction in wedge-shaped metamaterials
Z. G. Dong, S. N. Zhu, H. Liu +2
A wedge-shaped structure made of split-ring resonators (SRR) and wires is numerically simulated to evaluate its refraction behavior. Four frequency bands, namely, the stop band, le…
A number-theoretic approach to homotopy exponents of SU(n)
Donald M. Davis, Zhi-Wei Sun
We use methods of combinatorial number theory to prove that, for each and any prime , some homotopy group contains an element of order …
Could the 47 UMa Planetary System be a Second Solar System: predicting the Earth-like planets
Jianghui Ji, Lin Liu, H. Kinoshita +1
(Abridged)We numerically investigated the dynamical architecture of 47 UMa with the planetary configuration of the best-fit orbital solutions by Fischer et al. We systematically st…