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.

引用

页码：1154 / 1161

页数：8

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