Classical metric Diophantine approximation revisited

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The 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.
31 pages, Dedicated to Klaus Roth on the occasion of his 80th birthday

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Number Theory, 11J83

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http://salesiana.dossiersoluciones.com/handle/123456789/156980

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2351
 http://arxiv.org/abs/0803.2351

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arXiv