Counting multiplicative approximations

DOI10.1007/s11139-022-00610-3arXiv2203.10380OpenAlexW4226321954WikidataQ114223554 ScholiaQ114223554MaRDI QIDQ6073936

Sam Chow, Niclas Technau

Publication date: 18 September 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.10380

zbMATH Keywords

countingmetric Diophantine approximationLittlewood conjecture

Mathematics Subject Classification ID

Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Diophantine approximation, transcendental number theory (11J99)

Cites Work

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• Bohr sets and multiplicative Diophantine approximation
• On the Duffin-Schaeffer conjecture
• Asymptotic Diophantine approximation: the multiplicative case
• A Metrical Theorem in Diophantine Approximation
• On a Counting Theorem for Weakly Admissible Lattices
• Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
• Higher-rank Bohr sets and multiplicative diophantine approximation
• Metric Simultaneous Diophantine Approximation
• On the metric theory of approximations by reduced fractions: a quantitative Koukoulopoulos–Maynard theorem

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