2019/03/23 by Min Sha, Konyagin, Sergei V., Igor E. Shparlinski +4 · 1 citation
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1903.09796
openalex publication_date 2019/03/23 · openalex created_date 2019/04/01 · openalex updated_date 2026/07/28
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 ℝn and ℂn. We also study this property in a more detailed manner by considering the covering radius of such vectors.