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arXiv · 1711.00174

On a problem of Nathanson

Yong-Gao Chen·Min Tang
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Abstract

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 $h$. In this paper, we resolve a problem of Nathanson on minimal asymptotic bases of order $h$.

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Yong-Gao Chen, Min Tang. 2017-11-01. On a problem of Nathanson. https://doi.org/10.4064/aa171031-26-4

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