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Approximations simultanées de nombres algébriques de Qppar des rationnels

✍ Scribed by Olivier Teulié


Publisher
Springer Vienna
Year
2002
Tongue
English
Weight
120 KB
Volume
137
Category
Article
ISSN
0026-9255

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Approximation par des nombres algébrique
✍ Yann Bugeaud 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 158 KB

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

Approximation par des Nombres Algébrique
✍ Yann Bugeaud 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 236 KB

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