Approximation par des nombres algébriques de degré borné et dimension de Hausdorff. (Approximation by algebraic numbers of bounded degree and the Hausdorff dimension)

DOI10.1006/jnth.2002.2778zbMath1038.11049OpenAlexW2061409227MaRDI QIDQ1864855

Yann Bugeaud

Publication date: 23 March 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2002.2778

zbMATH Keywords

Diophantine approximationHausdorff measure

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Diophantine approximation in probabilistic number theory (11K60) Approximation to algebraic numbers (11J68)

Related Items (5)

An inhomogeneous Jarník theorem ⋮ Exact approximation order and well-distributed sets ⋮ Sets of exact approximation order by rational numbers ⋮ Intersective sets and Diophantine approximation ⋮ Describability via ubiquity and eutaxy in Diophantine approximation

Cites Work

• О точном порядке приближения нуля значениями целочисленных многочленов
• Classes of sets with large intersection
• Star Bodies and Diophantine Approximation
• Hausdorff measure and linear forms.
• On approximation of real numbers by real algebraic numbers
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• On a theorem of Sprindžuk
• Diophantine Approximation and Hausdorff Dimension
• Sets of exact `logarithmic' order in the theory of Diophantine approximation
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