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On simultaneous diophantine approximation

โœ Scribed by Werner Georg Nowak

Book ID
112908192
Publisher
Springer Milan
Year
1984
Tongue
Italian
Weight
146 KB
Volume
33
Category
Article
ISSN
0009-725X

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๐Ÿ“œ SIMILAR VOLUMES

On Simultaneous Diophantine Approximatio
On Simultaneous Diophantine Approximation in the Vector Space Q+Qฮฑ
โœ Edward B Burger ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

Beginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this paper we introduce an alogrithm, in sympathy with the classical continued fraction algorithm, to generate the sequence of best approximates to the system max[&: 0 n&, &: 1 n&, ..., &: L n&] in the case when :

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