A note on zero-one laws in metrical Diophantine approximation

Details A note on zero-one laws in metrical Diophantine approximation A note on zero-one laws in metrical Diophantine approximation

2008-03-16

arxiv.org/abs/0803.2355v1

Acta Arith. 133.4 (2008), 363-374.

Mathematics

Number Theory

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

Scientific paper

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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