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arXiv · 1401.6558

Asymptotic density of rational sets in free abelian groups

Anton Menshov
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Abstract

In this paper we study asymptotic density of rational sets in free abelian group $\mathbb{Z}^n$ of rank $n$. We show that any rational set $R$ in $\mathbb{Z}^n$ has asymptotic density. If $R$ is given by its semi-simple decomposition we show how to compute its asymptotic density.

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Anton Menshov. 2014-02-06. Asymptotic density of rational sets in free abelian groups. https://arxiv.org/abs/1401.6558

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