Zero-one laws in simultaneous and multiplicative Diophantine approximation

Details Zero-one laws in simultaneous and multiplicative Diophantine approximation Zero-one laws in simultaneous and multiplicative Diophantine approximation

2012-04-10

arxiv.org/abs/1204.2236v1

Mathematics

Number Theory

Scientific paper

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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