Star Bodies and Diophantine Approximation

DOI10.1112/jlms/s2-44.1.1zbMath0757.11021OpenAlexW2073218836MaRDI QIDQ4009498

Maurice M. Dodson

Publication date: 27 September 1992

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-44.1.1

zbMATH Keywords

Hausdorff dimensionrational approximationdistance functionstar bodysystems of linear forms

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Nonconvex bodies (11H16)

Related Items (4)

Sets of exact approximation order by complex rational numbers ⋮ The sets of Dirichlet non-improvable numbers versus well-approximable numbers ⋮ Approximation par des nombres algébriques de degré borné et dimension de Hausdorff. (Approximation by algebraic numbers of bounded degree and the Hausdorff dimension) ⋮ THE DIFFERENCE BETWEEN THE HURWITZ CONTINUED FRACTION EXPANSIONS OF A COMPLEX NUMBER AND ITS RATIONAL APPROXIMATIONS

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