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Asymptotic Approximations of Integral Manifolds

✍ Scribed by Gilsinn, David E.


Book ID
118196863
Publisher
Society for Industrial and Applied Mathematics
Year
1987
Tongue
English
Weight
915 KB
Volume
47
Category
Article
ISSN
0036-1399

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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