A subset $A$ of $\mathbb{Z}$ is an () basis of $n$ if

 $nA=\mathbb{N}\cup\{0\},$

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.

Title additive basis AdditiveBasis 2013-03-22 13:19:17 2013-03-22 13:19:17 bbukh (348) bbukh (348) 6 bbukh (348) Definition msc 11B13 basis AsymptoticBasis SchnirlemannDensity EssentialComponent order of additive basis