On the restricted order of asymptotic bases of order two

被引：4

作者：

Hennecart, F ^{[1
]}

机构：

[1] Univ St Etienne, LaMUSE, F-42023 St Etienne, France

来源：

RAMANUJAN JOURNAL | 2005年 / 9卷 / 1-2期

关键词：

additive basis; asymptotic basis; restricted order;

D O I：

10.1007/s11139-005-0830-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The restricted order of an asymptotic basis A is the least integer h, if it exists, such that every sufficiently large integer is the sum of h or fewer distinct elements of A. We show that any asymptotic basis of order 2 has a restricted order at most equal to 4. We also provide an example of an additive basis of order 2 whose restricted order is 4.

引用

页码：123 / 130

页数：8

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