3 years ago

When is an automatic set an additive basis?.

Kathryn Hare, Jason Bell, Jeffrey Shallit

We characterize those $k$-automatic sets $S$ of natural numbers that form an additive basis for the natural numbers, and we show that this characterization is effective. In addition, we give an algorithm to determine the smallest $j$ such that $S$ forms an additive basis of order $j$, if it exists.

Publisher URL: http://arxiv.org/abs/1710.08353

DOI: arXiv:1710.08353v1

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