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

V. Beresnevich·V. Bernik·D. Kleinbock·G. A. Margulis
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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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V. Beresnevich, V. Bernik, D. Kleinbock, G. A. Margulis. 2002-10-22. Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds. https://arxiv.org/abs/math/0210349

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