Rational approximations of irrational numbers

DOI10.4171/icm2022/84arXiv2109.11003OpenAlexW3199013496MaRDI QIDQ6119688

Dimitris Koukoulopoulos

Publication date: 24 March 2024

Published in: International Congress of Mathematicians (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11003

zbMATH Keywords

graph theoryDiophantine approximationDuffin-Schaeffer conjecturemetric number theorydensity incrementcompression arguments

Mathematics Subject Classification ID

Metric theory (11J83) Connectivity (05C40)

Cites Work

• The Duffin-Schaeffer conjecture with extra divergence. II
• Approximation by reduced fractions
• On the metric theory of diophantine approximation
• Small values of \(n^ 2\alpha\pmod 1\)
• On the Duffin-Schaeffer conjecture
• The irrationality measure of \(\pi\) is at most 7.103205334137\dots
• A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures
• On the distribution of the convergents of almost all real numbers
• The distribution of αp modulo one
• The k ‐dimensional Duffin and Schaeffer conjecture
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• The Distribution of Prime Numbers
• On Certain Sets of Integers
• A Theorem on the Densities of Sets of Integers
• Rational approximations to algebraic numbers
• The Duffin-Schaeffer conjecture with extra divergence
• The Duffin-Schaeffer conjecture with extra divergence
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