Partitions of the set of nonnegative integers with the same representation functions

被引：26
|
作者：
Kiss, Sandor Z. [1 ]
Sandor, Csaba [1 ]
机构：
[1] Budapest Univ Technol & Econ, Inst Math, H-1529 Budapest, Hungary
来源：
DISCRETE MATHEMATICS | 2017年 / 340卷 / 06期
关键词：
Additive number theory; Representation functions; Partitions of the set of natural numbers; NATURAL-NUMBERS;
D O I：
10.1016/j.disc.2017.01.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a set of nonnegative integers S let R-s(n) denote the number of unordered representations of the integer n as the sum of two different terms from S. In this paper we focus on partitions of the natural numbers into two sets affording identical representation functions. We solve a recent problem of Chen and Lev. (C) 2017 Elsevier B.V. All rights reserved.
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页码：1154 / 1161
页数：8
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