Badly approximable affine forms and Schmidt games

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For any real number \t, the set of all real numbers x for which there exists a constant c(x) > 0 such that \inf_{p \in \ZZ} |\t q - x - p| \geq c(x)/|q| for all q in \ZZ {0} is an 1/8-winning set.
6 pages

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Number Theory, 11K60 (Primary); 11J20, 11J70 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/210524

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.2281
 http://arxiv.org/abs/0812.2281

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arXiv