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Diagonal approximation in completions of \(\mathbb{Q}\)

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Publication:472823
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DOI10.1016/j.jnt.2014.07.004zbMath1387.11050arXiv1403.7342OpenAlexW2963239305MaRDI QIDQ472823

J. Herrera, Sumit K. Garg

Publication date: 20 November 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7342


zbMATH Keywords

Diophantine approximation\(p\)-adic numberszero-one lawDirichlet's theoremmetric number theoryDuffin-Schaeffer theorem


Mathematics Subject Classification ID

Metric theory (11J83) Approximation in non-Archimedean valuations (11J61)


Related Items (2)

Badly approximable points for diagonal approximation in solenoids ⋮ Khintchine’s theorem with rationals coming from neighborhoods in different places



Cites Work

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  • Approximation by reduced fractions
  • Homogeneous diophantine approximation in \(S\)-integers
  • Khintchine's problem in metric diophantine approximation
  • The k ‐dimensional Duffin and Schaeffer conjecture
  • The Metric Theory of p-Adic Approximation




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