Removing One Element from an Exact Additive Basis

We are interested in exact asymptotic bases. Our problem is to obtain an estimate from above for the exact order (which is known to exist) of such a basis when one of its elements, say a, is removed. We obtain a new such estimate valid for all, but a finite number, values of a. As a by-product, this...

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Bibliographic Details
Published in:Journal of number theory 2001-04, Vol.87 (2), p.306-314
Main Author: Plagne, Alain
Format: Article
Language:English
Subjects:
additive basis
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Summary:We are interested in exact asymptotic bases. Our problem is to obtain an estimate from above for the exact order (which is known to exist) of such a basis when one of its elements, say a, is removed. We obtain a new such estimate valid for all, but a finite number, values of a. As a by-product, this proves a conjecture of Grekos.
ISSN:0022-314X
1096-1658
DOI:10.1006/jnth.2000.2592