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.
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页码：595 / 598
页数：4
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