A note on zero-one laws in metrical Diophantine approximation
  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. 
Victor Beresnevich, Sanju Velani