On a problem of Nathanson
Volume 185 / 2018
Acta Arithmetica 185 (2018), 275-280
MSC: Primary 11B13; Secondary 11B75.
DOI: 10.4064/aa171031-26-4
Published online: 29 June 2018
Abstract
A set of nonnegative integers is an asymptotic basis of order h if every sufficiently large integer can be represented as the sum of h integers (not necessarily distinct) of A. An asymptotic basis A of order h is minimal if no proper subset of A is an asymptotic basis of order h. We resolve a problem of Nathanson on minimal asymptotic bases of order h.