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Zero-one laws in simultaneous and multiplicative Diophantine approximation

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.

preprint2012arXivOpen access
Liangpan Li
math.NT
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Liangpan Li

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