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additive basis
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(Definition)
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A subset $A$ of $\mathbb{Z}$ is an (additive) basis of order $n$ if \begin{equation*} nA=\mathbb{N}\cup\{0\}, \end{equation*}where $nA$ is $n$ fold sumset of $A$ Usually it is assumed that $0$ belongs to $A$ when saying that $A$ is an additive basis.
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"additive basis" is owned by bbukh.
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Cross-references: sumset, subset
There are 107 references to this entry.
This is version 3 of additive basis, born on 2002-12-26, modified 2002-12-26.
Object id is 3831, canonical name is Basis2.
Accessed 11861 times total.
Classification:
| AMS MSC: | 11B13 (Number theory :: Sequences and sets :: Additive bases) |
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Pending Errata and Addenda
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