On the Transcendence of Power Towers of Liouville Numbers

2023/10/10 by Diego Marques, Marques, Diego, Marcelo Oliveira +3
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2310.06780

openalex publication_date 2023/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, among other things, we explicit a G_δ-dense set of Liouville numbers, for which the triple power tower of any of its elements is a transcendental number.

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