Some remarks related to the density of \(bⁿ\pmod n)/n:n∈ℕ\

2023/08/28 by Martin Lind, Lind, Martin
Mathematics · #11B05 #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2308.14354

openalex publication_date 2023/08/28 · openalex created_date 2023/08/31 · openalex updated_date 2026/07/28

Abstract

For b∈ℕ, b≥2 we determine the limit points of certain subsets of \\fracbⁿ\pmodnn:n∈ℕ\. As a consequence, we obtain the density of the latter set in [0,1], a result first established in 2013 by Cilleruelo, Kumchev, Luca, Rué and Shparlinski..

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