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s‐Maximal Nonbases of Density Zero

 

作者: Melvyn B. Nathanson,  

 

期刊: Journal of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume s2-15, issue 1  

页码: 29-34

 

ISSN:0024-6107

 

年代: 2016

 

DOI:10.1112/jlms/s2-15.1.29

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

The setAof non‐negative integers is a basis if every sufficiently large integerncan be written in the formn=ai+ajwithai,aj∈A. The setAis a nonbasis if it is not a basis. LetAbe a nonbasis, and letWbe a finite set of non‐negative integers not belonging toA. ThenAis ans‐maximal nonbasis ifA∪Wremains a nonbasis for |W|

 

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