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A converse of asymptotic formulae in simultaneous approximation

✍ Scribed by P. Garrancho; D. Cárdenas-Morales

Book ID
108051888
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
213 KB
Volume
217
Category
Article
ISSN
0096-3003

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📜 SIMILAR VOLUMES

Simultaneous Diophantine Approximation a
Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds
✍ M.M. Dodson; B.P. Rynne; J.A.G. Vickers 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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