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Approximation par des Nombres Algébriques de Degré Borné et Dimension de Hausdorff

✍ Scribed by Yann Bugeaud

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
236 KB
Volume
96
Category
Article
ISSN
0022-314X

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✦ Synopsis

We compute the generalized Hausdorff measure of sets of real numbers close to infinitely many algebraic numbers of fixed degree. Thus, we provide an extension to results of Jarn! ı ık and of Baker and Schmidt. # 2002 Elsevier Science (USA) En particulier, pour l > 1; l'ensemble Kðq/q Àl Þ est de mesure nulle. Inde´pendamment, Jarn! ı ık [16] et Besicovitch [6] ont calcule´sa dimension de Hausdorff.

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