On a problem of Nathanson
Tom 185 / 2018
Acta Arithmetica 185 (2018), 275-280 MSC: Primary 11B13; Secondary 11B75. DOI: 10.4064/aa171031-26-4 Opublikowany online: 29 June 2018
A set $A$ 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 $h$.