Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation
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Publication:2969717
DOI10.1142/S1793042117500324zbMath1367.11063arXiv1508.04406OpenAlexW3098775014WikidataQ124811442 ScholiaQ124811442MaRDI QIDQ2969717
Publication date: 23 March 2017
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04406
Diophantine inequalities (11J25) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60)
Related Items (8)
A mass transference principle for systems of linear forms and its applications ⋮ Bohr sets and multiplicative Diophantine approximation ⋮ On the metric theory of inhomogeneous Diophantine approximation: an Erdős-Vaaler type result ⋮ On the metric theory of multiplicative Diophantine approximation ⋮ KHINTCHINE'S THEOREM WITH RANDOM FRACTIONS ⋮ A Fourier-analytic approach to inhomogeneous Diophantine approximation ⋮ Higher-rank Bohr sets and multiplicative diophantine approximation ⋮ The divergence Borel-Cantelli Lemma revisited
Cites Work
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- The Duffin-Schaeffer conjecture with extra divergence. II
- Solution of the minimum modulus problem for covering systems
- Approximation by reduced fractions
- On the metric theory of diophantine approximation
- On the distribution of the convergents of almost all real numbers
- Khintchine's problem in metric diophantine approximation
- The k ‐dimensional Duffin and Schaeffer conjecture
- Über die metrische Theorie der diophantischen Approximation
- Sieving by large integers and covering systems of congruences
- A note on the Duffin-Schaeffer conjecture with slow divergence
- On the metric theory of inhomogeneous diophantine approximations
- The Duffin-Schaeffer conjecture with extra divergence
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