Inhomogeneous Diophantine approximation on curves and Hausdorff dimension

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dc.creatorBadziahin, Dzmitry
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:41Z
dc.date.available2026-07-07T10:04:41Z
dc.descriptionThe goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approximation on curves in $R^n$ akin to the well established homogeneous theory. More specifically, the measure theoretic results obtained generalize the fundamental homogeneous theorems of R.C. Baker (1978), Dodson, Dickinson (2000) and Beresnevich, Bernik, Kleinbock, Margulis (2002). In the case of planar curves, the complete Hausdorff dimension theory is developed
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0809.3937
dc.identifierhttp://arxiv.org/abs/0809.3937
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169770
dc.subjectNumber Theory
dc.subject11J83; 11J13
dc.titleInhomogeneous Diophantine approximation on curves and Hausdorff dimension
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