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arXiv · 1204.2236

Zero-one laws in simultaneous and multiplicative Diophantine approximation

Liangpan Li
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Abstract

Answering two questions of Beresnevich and Velani, we develop zero-one laws in both simultaneous and multiplicative Diophantine approximation. Our proofs rely on a Cassels-Gallagher type theorem as well as a higher-dimensional analogue of the cross fibering principle of Beresnevich, Haynes and Velani.

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Liangpan Li. 2012-04-10. Zero-one laws in simultaneous and multiplicative Diophantine approximation. https://doi.org/10.1112/s0025579312001106

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