Diagonal approximation in completions of Q

Matthew I Palmer

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)


We prove analogues of some classical results from Diophantine approximation and metric number theory (namely Dirichlet's theorem and the Duffin–Schaeffer theorem) in the setting of diagonal Diophantine approximation, i.e. approximating elements of R×Qp1×⋯×Qpr by elements of the diagonal embedding of Q into this space.
Original languageEnglish
JournalJournal of Number Theory
Early online date6 Sept 2014
Publication statusPublished - Feb 2015


  • Diophantine approximation
  • Metric number theory
  • Dirichlet's theorem
  • Duffin-Schaeffer theorem
  • Zero-one law
  • p-adic numbers


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