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

2002/10/22 by V. Beresnevich, V. Bernik, D. Kleinbock +1 · 1 citation
Mathematics · #math.NT #msc:11J83 #msc:11K60

paper · pdf

published as Moscow Math. J. 2, no. 2 (2002), 203--225 · LaTeX, 24 pages

arxiv created 2002/10/22 · arxiv updated 2009/11/30

Abstract

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.

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• Twisted Diophantine approximation on manifolds

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