Diagonal approximation in completions of Q

Matthew I Palmer

Research output: Contribution to journalArticle (Academic Journal)

Abstract

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
Volume147
Early online date6 Sep 2014
Publication statusPublished - Feb 2015

Keywords

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

Fingerprint Dive into the research topics of 'Diagonal approximation in completions of Q'. Together they form a unique fingerprint.

  • Cite this