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Diophantine approximations on a circle and Hausdorff dimension

โœ Scribed by Yu. V. Mel'nichuk

Publisher
SP MAIK Nauka/Interperiodica
Year
1979
Tongue
English
Weight
365 KB
Volume
26
Category
Article
ISSN
0001-4346

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The Hausdorff Dimension of Sets Arising
The Hausdorff Dimension of Sets Arising from Diophantine Approximation with a General Error Function
โœ Bryan P. Rynne ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

Let m, n be positive integers and let : Z n ร„ R be a non-negative function. Let W(m, n; ) be the set { X # R mn : " : n j=1 x ij q j " < (q), 1 i m, for infinitely many q # Z n = . The Hausdorff dimension of W(m, n; ) is obtained for arbitrary non-negative functions , with no monotonicity assumpti