Thin bases in additive number theory

被引：1
|
作者：
Nathanson, Melvyn B. [1 ,2 ]
机构：
[1] CUNY, Lehman Coll, Dept Math, Bronx, NY 10468 USA
[2] CUNY, Grad Ctr, New York, NY 10016 USA
来源：
DISCRETE MATHEMATICS | 2012年 / 312卷 / 12-13期
关键词：
Additive number theory; Thin bases; Bases of finite order; Shatrovskii bases;
D O I：
10.1016/j.disc.2012.03.026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The set A of nonnegative integers is called a basis of order h if every nonnegative integer can be represented as the sum of exactly h not necessarily distinct elements of A. An additive basis A of order It is called thin if there exists c > 0 such that the number of elements of A not exceeding x is less than cx(1/h) for all x >= 1. This paper describes a construction of Shatrovskii of thin bases of order h. (C) 2012 Elsevier B.V. All rights reserved.
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页码：2069 / 2075
页数：7
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