Victor Beresnevich, Sanju Velani
Published 2008-03-16Version 1
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.
Comments: 12 pages, Dedicated to Wolfgang Schmidt on the occasion of his 75th birthday
Journal: Acta Arith. 133.4 (2008), 363-374.
Inhomogeneous approximation for systems of linear forms with primitivity constraints
On the number of linear forms in logarithms
Unique representations of integers by linear forms
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