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Isolated Diophantine numbers

2024/01/31 by Fernando Argentieri, Argentieri, Fernando, Luigi Chierchia +1
Chemistry · Pharmacology, Toxicology and Pharmaceutics · #Alkaloids: synthesis and pharmacology #Chemical synthesis and alkaloids #Chromatography in Natural Products #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2402.00173

openalex publication_date 2024/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with same Diophantine constatnts), showing that, Diophantine sets are not always Cantor sets. General properties of isolated Diophantine numbers are also briefly discussed.

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