A note on zero-one laws in metrical Diophantine approximation
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🧮 math.NT
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approximationdiophantinemetricalzero-oneassociatedcasselscontainsdiscuss
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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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