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arXiv · 0803.2355

A note on zero-one laws in metrical Diophantine approximation

Victor Beresnevich·Sanju Velani
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Abstract

In this paper we discuss a general problem on metrical Diophantine approximation associated with a system of linear forms. The main result is a zero-one law that extends one-dimensional results of Cassels and Gallagher. The paper contains a discussion on possible generalisations including a selection of various open problems.

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Victor Beresnevich, Sanju Velani. 2008-03-16. A note on zero-one laws in metrical Diophantine approximation. https://doi.org/10.4064/aa133-4-5

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