APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION

YANN BUGEAUD

doi:10.1112/S0024610702003137

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.

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APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION

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APPROXIMATION BY ALGEBRAIC INTEGERS AND HAUSDORFF DIMENSION

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