1.1k citations
- Chinese Academy of SciencesCN22 papers
- Purple Mountain ObservatoryCN20 papers
- Nanjing Normal UniversityCN9 papers
- International Centre for Materials PhysicsCN7 papers
- National Astronomical ObservatoriesCN7 papers
- National Astronomical Observatory of JapanJP7 papers
- Collaborative Innovation Center of Advanced MicrostructuresCN6 papers
- Oak Ridge National LaboratoryUS6 papers
- University of Hong KongHK6 papers
- University of Tennessee at KnoxvilleUS6 papers
- National Laboratory of Solid State Microstructures5 papers
- Los Alamos National LaboratoryUS4 papers
19 papers · 1 filter
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 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…
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…
On -Dominant Dimension
Zhaoyong Huang
Let and be artin algebras and a faithfully balanced selforthogonal bimodule. We show that the -dominant dimensions of and are identical. As applicati…