scientific article; zbMATH DE number 5221681

zbMath1155.11003MaRDI QIDQ5433084

Yann Bugeaud

Publication date: 19 December 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Diophantine approximationHausdorff dimensionLebesgue measuremetric theoryKoksma's classificationapproximation of real numbers by algebraic numbersThue-Siegel-Roth-Schmidt theoremapproximation of real numbers by rational numbersMahler's classification of transcendental numbersMahler's conjecture on \(S\)-numbers

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Homogeneous approximation to one number (11J04) Approximation to algebraic numbers (11J68) Approximation by numbers from a fixed field (11J17)

Related Items (6)

Unnamed Item ⋮ Dimension estimates for sets of uniformly badly approximable systems of linear forms ⋮ Limit points badly approximable by horoballs ⋮ Root separation for reducible monic quartics ⋮ Unnamed Item ⋮ A NOTE ON THE HAUSDORFF DIMENSION OF SOME LIMINF SETS APPEARING IN SIMULTANEOUS DIOPHANTINE APPROXIMATION

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