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arxiv: 0904.1871 · v2 · submitted 2009-04-13 · 🧮 math.NT · math.CO

Answers to two questions posed by Farhi concerning additive bases

classification 🧮 math.NT math.CO
keywords questionsasymptoticbasisboundsconcerningfarhiorderposed
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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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