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
4 papers · 1 filter
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…
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.
Restricted sumsets and a conjecture of Lev
Hao Pan, Zhi-Wei Sun
Let A,B,S be finite subsets of an abelian group G. Suppose that the restricted sumset C={a+b: a in A, b in B, and a-b not in S} is nonempty and some c in C can be written as a+b wi…
On various restricted sumsets
Zhi-Wei Sun, Yeong-Nan Yeh
For finite subsets A_1,...,A_n of a field, their sumset is given by {a_1+...+a_n: a_1 in A_1,...,a_n in A_n}. In this paper we study various restricted sumsets of A_1,...,A_n with…