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Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds

โœ Scribed by D. Y. Kleinbock and G. A. Margulis


Book ID
115442569
Publisher
John Hopkins University Press
Year
1998
Tongue
English
Weight
458 KB
Volume
148
Category
Article
ISSN
0003-486X

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Simultaneous Diophantine Approximation a
โœ M.M. Dodson; B.P. Rynne; J.A.G. Vickers ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 714 KB

Let (r), r=1, 2, ... be a positive decreasing sequence such that r=1 (r) k diverges. Using a powerful variance argument due to Schmidt, an asymptotic formula is obtained for the number of integer solutions q of the system of Diophantine inequalities max[&qx i &: which holds for almost all points (x