A Khintchine type theorem for hyperplanes

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We prove that the convergence Khintchine theorem holds for affine hyperplanes whose parametrizing matrices satisfy a mild Diophantine condition. We use the dynamical method of Kleinbock-Margulis.
14 pages

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Number Theory, Dynamical Systems, 11K60,37A17

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http://salesiana.dossiersoluciones.com/handle/123456789/76146

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508473
 http://arxiv.org/abs/math/0508473

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arXiv