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A note on simultaneous Diophantine approximation on planar curves

✍ Scribed by Victor V. Beresnevich; Sanju L. Velani

Publisher: Springer
Year: 2006
Tongue: English
Weight: 341 KB
Volume: 337
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s00208-006-0055-1

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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