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Dirichlet's theorem and diophantine approximation on manifolds

โœ Scribed by M.M Dodson; B.P Rynne; J.A.G Vickers

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
207 KB
Volume
36
Category
Article
ISSN
0022-314X

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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

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