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Successive Minima and Best Simultaneous Diophantine Approximations

✍ Scribed by Iskander Aliev; Martin Henk

Book ID
106198377
Publisher
Springer Vienna
Year
2005
Tongue
English
Weight
90 KB
Volume
147
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

Simultaneous Diophantine Approximation a
Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds
✍ 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