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

Shi-Qiang Chen

Source record

Source: arXiv

Published: Sep 30, 2026

arXiv: 2609.38865

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Source abstract

Let $h\geq2$ be an integer and let $1/h<θ\leq1/(h-1)$ . In this paper, we prove that there exists a strongly minimal asymptotic basis $A$ of order $h$ such that $A(x)\asymp x^θ$ . This solves a problem posed by Nathanson in 1988.

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