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arXiv · 1903.09796

On the distribution of multiplicatively dependent vectors

Sergei V. Konyagin·Min Sha·Igor E. Shparlinski·Cameron L. Stewart
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Abstract

In this paper, we study the distribution of multiplicatively dependent vectors. For example, although they have zero Lebesgue measure, they are everywhere dense both in $\mathbb{R}^n$ and $\mathbb{C}^n$. We also study this property in a more detailed manner by considering the covering radius of such vectors.

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Sergei V. Konyagin, Min Sha, Igor E. Shparlinski, Cameron L. Stewart. 2019-03-23. On the distribution of multiplicatively dependent vectors. https://arxiv.org/abs/1903.09796

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