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arXiv · 2002.00433

On badly approximable numbers

Renat Akhunzhanov·Nikolay Moshchevitin
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Abstract

Motivated by a wonderful paper by Ngoc Ai Van Nguyen, Anthony Po\"els and Damien Roy, where a powerful method was introduced, we prove a criterion for a vector $\pmb{\alpha}\in \mathbb{R}^d$ to be a badly approximable vector. Moreover we construct certain examples which show that a more general version of our criterion is not valid.

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Renat Akhunzhanov, Nikolay Moshchevitin. 2020-02-02. On badly approximable numbers. https://arxiv.org/abs/2002.00433

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