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APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION

Published online by Cambridge University Press:  24 March 2003

YANN BUGEAUD
Affiliation:
UFR de Mathématiques, Université Louis Pasteur, 7 rue René Descartes, 67084 Strasbourg Cedex, [email protected]
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Abstract

The paper computes the Hausdorff dimension of sets of real numbers which are close to infinitely many real algebraic integers of bounded degree. It also investigates the distribution of real algebraic integers of bounded degree, which are proved to be evenly spaced.

Type
Research Article
Copyright
The London Mathematical Society, 2002

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