Answers to two questions posed by Farhi concerning additive bases

Details Answers to two questions posed by Farhi concerning additive bases Answers to two questions posed by Farhi concerning additive bases

2009-04-13

arxiv.org/abs/0904.1871v2

Mathematics

Number Theory

7 pages, no figures. This is v3 : I found a gap in the proof of Lemma 3.2 of v2. This has now been corrected and the same resu

Scientific paper

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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