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A NOTE ON INHOMOGENEOUS DIOPHANTINE APPROXIMATION

Published online by Cambridge University Press:  01 May 2003

YANN BUGEAUD
YANN BUGEAUD
Affiliation:
Université Louis Pasteur, U.F.R. de mathématiques, 7 rue René Descartes, 67084 Strasbourg Cedex, France e-mail: [email protected]
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Abstract

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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 $(\{n\alpha\})_{n\,{\ge}\,1}$.

Keywords

11J83
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 45 , Issue 1 , January 2003 , pp. 105 - 110
Copyright
2003 Glasgow Mathematical Journal Trust