Diophantine approximation with restricted numerators and denominators on semisimple groups

Alexander Gorodnik, Shirali Kadyrov

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

Abstract

We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points with a prescribed denominator and an almost prime numerator.

Original languageEnglish
Pages (from-to)1-28
Number of pages28
JournalJournal de théorie des nombres de Bordeaux
Volume29
Issue number1
Early online date1 Jan 2017
DOIs
Publication statusPublished - 2017

Keywords

  • Almost primes
  • Diophantine approximation in algebraic groups
  • Property (τ)
  • Restricted diophantine approximation
  • Sieving on algebraic groups

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