Partitions of the set of natural numbers and their representation functions
Partitions of the set of natural numbers and their representation functions
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DOI：
10.1016/j.disc.2007.06.006
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发表时间：
2008-06
期刊：
影响因子：
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通讯作者：
M. Tang
中科院分区：
文献类型：
--
作者：
M. Tang
对于给定的非负整数集合A，表示函数R2（A，n），R3（A，n）分别定义为方程n=a+a′，a，a′∈A且a<a′，a ∈ a′的解的个数.本文对Sándor的两个结果给出了一个简单的证明。
For a given set A of nonnegative integers the representation functions R2(A,n), R3(A,n) are defined as the number of solutions of the equation n=a+a′,a,a′∈A with a<a′, a⩽a′, respectively. In this paper we give a simple proof to two results by Sándor.