𝔖 Bobbio Scriptorium
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Intersections de langages algébriques bornés

✍ Scribed by Michel Latteux


Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
433 KB
Volume
11
Category
Article
ISSN
0001-5903

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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 mes

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For a real algebraic number % of degree D, it follows from results of W. M. Schmidt and E. Wirsing that for every =>0 and every positive integer d<D there exist infinitely many algebraic numbers : of degree d such that |%&:| < H(:) &d&1+= . Here, H denotes the na@ ve height. In the present work, we