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arXiv · 2006.14562

A new class of minimal asymptotic bases

Melvyn B. Nathanson
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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 $h$ not necessarily distinct elements of $A$. The asymptotic basis $A$ is minimal if removing any element of $A$ destroys every representation of infinitely many integers, and so $A\setminus \{a\}$ is not an asymptotic basis of order $h$ for all $a\in A$. In this paper, a new class of minimal asymptotic bases is constructed.

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Melvyn B. Nathanson. 2020-06-25. A new class of minimal asymptotic bases. https://arxiv.org/abs/2006.14562

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