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hal-00082564, version 1

A note of inhomogeneous Diophantine approximation

Yann Bugeaud 1

Glasgow Mathematical Journal 45, num. 1 (2003) 105-110

Abstract: Let $\alpha$ be an irrational number. We determine the Hausdorff dimension of sets of real numbers which are close to infinitely many elements of the sequence $(\{n\alpha\})_{n\,{\ge}\,1}$.

  • 1:  Institut de Recherche Mathématique Avancée (IRMA)
  • CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
  • Domain : Mathematics/General Mathematics
    Mathematics/Number Theory
 
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  • Submitted on: Wednesday, 28 June 2006 10:50:17
  • Updated on: Wednesday, 7 February 2007 10:39:56