Removing one element from an exact additive basis

Alain Plagne

doi:10.1006/jnth.2000.2592

Removing one element from an exact additive basis

Alain Plagne

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	306-314
Number of pages	9
Journal	Journal of Number Theory
Volume	87
Issue number	2
DOIs	https://doi.org/10.1006/jnth.2000.2592
Publication status	Published - 1 Jan 2001

Keywords

Additive basis

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10.1006/jnth.2000.2592

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AB - 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.

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Removing one element from an exact additive basis

Abstract

Keywords

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