On transcendental analytic functions mapping an uncountable class of\n U-numbers into Liouville numbers

2014/08/04 by Diego Marques, Marques, Diego, Josimar Ramirez +1
Mathematics · #11Jxx #Advanced Topology and Set Theory #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1408.0844

openalex publication_date 2014/08/04 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall prove, for any m\≥ 1, the existence of an\nuncountable subset of U-numbers of type \≤ m (which we called the set of\n it m-ultra numbers) for which there exists uncountably many transcendental\nanalytic functions mapping it into Liouville numbers.\n

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