Approximation of irrational numbers by pairs of integers from a large set

DOI10.1017/S0004972724000194MaRDI QIDQ6666595

Artūras Dubickas

Publication date: 20 January 2025

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

approximationdensityirrational number

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Density, gaps, topology (11B05) Homogeneous approximation to one number (11J04) Special sequences (11K31)

Cites Work

• Title not available (Why is that?)
• Number theory. An introduction to mathematics
• Diophantine approximation
• Small values of \(n^ 2\alpha\pmod 1\)
• Algebraic numbers and density modulo 1
• The distribution of \(\alpha p\) modulo one
• Density of some sequences modulo 1
• The distribution of αp modulo one
• On density modulo 1 of some expressions containing algebraic integers
• Quotients of Primes
• A generalization of Furstenberg’s Diophantine Theorem
• Elementary Proof of Furstenberg's Diophantine Result
• Generalizations of Furstenberg’s Diophantine result
• On the fractional parts of a ⁿ /n
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Beurling-integers with lacunarity

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