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

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

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

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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.
LaTeX, 24 pages

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Number Theory, 11J83; 11K60

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http://salesiana.dossiersoluciones.com/handle/123456789/65396

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210349
http://arxiv.org/abs/math/0210349
Moscow Math. J. 2, no. 2 (2002), 203--225

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

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