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arXiv · 1212.6584

The winning property of mixed badly approximable numbers

Yaqiao Li
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Abstract

For any pair of real numbers $(i,j)$ with $0<i,j<1$ and $i+j=1$, we prove that the set of $p$-adic mixed $(i,j)$-badly approximable numbers $\bad_p(i, j)$ is 1/2-winning in the sense of Schmidt's game. This improves a recent result of Badziahin, Levesley, and Velani on mixed Schmidt conjecture.

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Yaqiao Li. 2013-05-05. The winning property of mixed badly approximable numbers. https://arxiv.org/abs/1212.6584

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