Unique Weighted Representation Basis of Integers  

作　　者：Ran XIONG 

机构地区：[1]School of Mathematics and Computer Science, Anhui Normal University

出　　处：《Journal of Mathematical Research with Applications》2014年第3期332-336,共5页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.10901002);the Natural Science Foundation of Anhui Province(Grant No.1208085QA02)

摘　　要：Let k1 ,k2 be nonzero integers with （k1, k2） = 1 and k1kk ≠-1. In this paper, we prove that there is a set A Z such that every integer can be represented uniquely in the form n = k1a1 ＋ k2a2, a1,a2 ∈ A.Let k1 ,k2 be nonzero integers with （k1, k2） = 1 and k1kk ≠-1. In this paper, we prove that there is a set A Z such that every integer can be represented uniquely in the form n = k1a1 ＋ k2a2, a1,a2 ∈ A.

关 键 词：additive basis representation function. 

分 类 号：O156[理学—数学]