Contents Online
Mathematical Research Letters
Volume 30 (2023)
Number 2
On the distribution of multiplicatively dependent vectors
Pages: 509 – 540
DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n2.a7
Authors
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.
Received 23 March 2019
Received revised 21 November 2022
Accepted 24 January 2023
Published 13 September 2023