Classical metric Diophantine approximation revisited

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dc.creatorBeresnevich, Victor
dc.creatorBernik, Vasily
dc.creatorDodson, Maurice
dc.creatorVelani, Sanju
dc.date2008-03-16
dc.date.accessioned2026-07-07T09:27:06Z
dc.date.available2026-07-07T09:27:06Z
dc.descriptionThe idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century. It has led to the development of the theory of metrical Diophantine approximation, a branch of Number Theory which draws on a rich and broad variety of mathematics. We discuss some recent progress and open problems concerning this classical theory. In particular, generalisations of the Duffin-Schaeffer and Catlin conjectures are formulated and explored.
dc.description31 pages, Dedicated to Klaus Roth on the occasion of his 80th birthday
dc.identifierhttps://arxiv.org/abs/0803.2351
dc.identifierhttp://arxiv.org/abs/0803.2351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156980
dc.subjectNumber Theory
dc.subject11J83
dc.titleClassical metric Diophantine approximation revisited
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