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arXiv:math/0210349 [math.NT]AbstractReferencesReviewsResources

Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds

V. Beresnevich, V. Bernik, D. Kleinbock, G. A. Margulis

Published 2002-10-22Version 1

The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier results for convergence.

Comments: LaTeX, 24 pages
Journal: Moscow Math. J. 2, no. 2 (2002), 203--225
Categories: math.NT
Subjects: 11J83, 11K60
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