paper

A note on zero-one laws in metrical Diophantine approximation

arXiv:0803.2355 · doi:10.4064/aa133-4-5

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.

12 pages, Dedicated to Wolfgang Schmidt on the occasion of his 75th birthday

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