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arXiv · 0904.1871

Answers to two questions posed by Farhi concerning additive bases

Peter Hegarty
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Abstract

Let A be an asymptotic basis for N and X a finite subset of A such that A\X is still an asymptotic basis. Farhi recently proved a new batch of upper bounds for the order of A\X in terms of the order of A and a variety of parameters related to the set X. He posed two questions concerning possible improvements to his bounds. In this note, we answer both questions.

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Peter Hegarty. 2009-07-04. Answers to two questions posed by Farhi concerning additive bases. https://arxiv.org/abs/0904.1871

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