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On Real Quadratic Number Fields and Simultaneous Diophantine Approximation

โœ Scribed by Edward B. Burger


Publisher
Springer Vienna
Year
1999
Tongue
English
Weight
89 KB
Volume
128
Category
Article
ISSN
0026-9255

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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