On finite additive complements

被引：9

作者：

Fang, Jin-Hui ^{[1
]}

Chen, Yong-Gao ^{[2
,3
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

[3] Nanjing Normal Univ, Inst Math, Nanjing 210023, Peoples R China

来源：

DISCRETE MATHEMATICS | 2013年 / 313卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Additive complements; Counting functions;

D O I：

10.1016/j.disc.2012.12.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two sets A and B of non-negative integers are called additive complements, if their sum contains all sufficiently large integers. Let A(x) and B(x) be the counting functions of A and B. Up to now, all researches on additive complements are under the assumption that A and B are infinite sets. In this paper, we consider the case that A is a finite set. This is very different from the infinite case. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：595 / 598

页数：4

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