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