Badly approximable numbers related to the Littlewood conjecture

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By means of Peres-Schlag's method we prove the existence of real numbers $α, β$ such that $$ \liminf_{q\to \infty} (q\log^2 q)||αq|| ||βq|| > 0.
5 pages

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Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/170734

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.0777
 http://arxiv.org/abs/0810.0777

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arXiv