418 citations
- Chinese Academy of SciencesCN16 papers
- Purple Mountain ObservatoryCN13 papers
- Nanjing Normal UniversityCN8 papers
- National Astronomical ObservatoriesCN6 papers
- University of Hong KongHK5 papers
- International Centre for Materials PhysicsCN4 papers
- Los Alamos National LaboratoryUS3 papers
- Nanjing University of Aeronautics and AstronauticsCN3 papers
- National Astronomical Observatory of JapanJP3 papers
- Oak Ridge National LaboratoryUS3 papers
- RIKENJP3 papers
- University of Tennessee at KnoxvilleUS3 papers
10 papers · 1 filter
A sharp result on m-covers
Hao Pan, Zhi-Wei Sun
Let A={a_s+n_sZ}_{s=1}^k be a finite system of arithmetic sequences which forms an m-cover of Z (i.e., every integer belongs at least to m members of A). In this paper we show the…
On odd covering systems with distinct moduli
Song Guo, Zhi-Wei Sun
A famous unsolved conjecture of P. Erdos and J. L. Selfridge states that there does not exist a covering system {a_s(mod n_s)}_{s=1}^k with the moduli n_1,...,n_k odd, distinct and…
A connection between covers of the integers and unit fractions
Zhi-Wei Sun
For integers a and n>0, let a(n) denote the residue class {x\in Z: x=a (mod n)}. Let A be a collection {a_s(n_s)}_{s=1}^k of finitely many residue classes such that A covers all th…
On Euler numbers modulo powers of two
Zhi-Wei Sun
To determine Euler numbers modulo powers of two seems to be a difficult task. In this paper we achieve this and apply the explicit congruence to give a new proof of a classical res…
On the range of a covering function
Zhi-Wei Sun
Let {a_s(mod n_s)}_{s=1}^k (k>1) be a finite system of residue classes with the moduli n_1,...,n_k distinct. By means of algebraic integers we show that the range of the covering f…
Identities concerning Bernoulli and Euler polynomials
Zhi-Wei Sun, Hao Pan
We establish two general identities for Bernoulli and Euler polynomials, which are of a new type and have many consequences. The most striking result in this paper is as follows: I…