Multiplicative zero-one laws and metric number theory

DOI10.4064/aa160-2-1zbMath1292.11085arXiv1012.0675OpenAlexW2962684303MaRDI QIDQ2845643

Sanju L. Velani, Victor V. Beresnevich, Alan K. Haynes

Publication date: 2 September 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0675

zbMATH Keywords

zero-one lawDuffin--Schaeffer theoremmetric multiplicative diophantine approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)

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Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation ⋮ The Hausdorff measure version of Gallagher's theorem. Closing the gap and beyond ⋮ THE DUFFIN–SCHAEFFER‐TYPE CONJECTURES IN VARIOUS LOCAL FIELDS ⋮ The divergence Borel-Cantelli Lemma revisited ⋮ A note on the weighted Khintchine-Groshev theorem ⋮ MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF THE EXPANSIONS UNDER DIFFERENT BASES ON A LINE

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