| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415668 | Journal of Number Theory | 2012 | 9 Pages |
Abstract
TextFor any given two positive integers k1 and k2, and any set A of nonnegative integers, let rk1,k2(A,n) denote the number of solutions of the equation n=k1a1+k2a2 with a1,a2âA. In this paper, we determine all pairs k1,k2 of positive integers for which there exists a set AâN such that rk1,k2(A,n)=rk1,k2(NâA,n) for all n⩾n0. We also pose several problems for further research.VideoFor a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=EnezEsJl0OY.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Quan-Hui Yang, Yong-Gao Chen,