Article ID Journal Published Year Pages File Type
4594877 Journal of Number Theory 2009 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory