On a problem of Erdős and Nathanson related to minimal asymptotic bases of order $h$

Shi-Qiang Chen, Quan-Hui Yang

Source record

Source: arXiv

Published: Sep 8, 2026

arXiv: 2609.08706

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Source abstract

Let $h\geq 3$ be an integer and $0<α<1/h$ . In this paper, we prove that there exists a minimal asymptotic basis of order $h$ with asymptotic density $α$ . This solves an open problem posed by Erdős and Nathanson in 1988.

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