On very badly approximable numbers

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Zhe Cao, Harold S. Erazo, Carlos Gustavo Moreira
DOI: 10.48550/arxiv.2602.09700
Cited by: 0

Abstract

We prove a refined version of Markov's theorem in Diophantine approximation. More precisely, we characterize completely the set of irrationals $x$ such that $\left|x-\frac{p}{q}\right|

Fields of Study & Subjects

Mathematical Dynamics and Fractals Analytic Number Theory Research Algebraic Geometry and Number Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint