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An Asymptotic Formula in Adele Diophantine Approximations

✍ Scribed by Melvin M. Sweet


Book ID
125686114
Publisher
American Mathematical Society
Year
1974
Tongue
English
Weight
983 KB
Volume
195
Category
Article
ISSN
0002-9947

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✍ M.M. Dodson; B.P. Rynne; J.A.G. Vickers πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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