Abstract

A set AA of nonnegative integers is an asymptotic basis of order hh if every sufficiently large integer can be represented as the sum of hh integers (not necessarily distinct) of AA. An asymptotic basis AA of order hh is minimal if no proper subset of AA is an asymptotic basis of order hh. In this paper, we resolve a problem of Nathanson on minimal asymptotic bases of order hh.

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