arXiv:0809.3937 Abstract | arXiv Analytics

arXiv:0809.3937 [math.NT]Abstract References Reviews Resources

Inhomogeneous Diophantine approximation on curves and Hausdorff dimension

Published 2008-09-23Version 1

The 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

Comments: 28 pages

Categories: math.NT

Subjects: 11J83, 11J13

Keywords: inhomogeneous diophantine approximation, complete hausdorff dimension theory, measure theoretic results, planar curves, fundamental homogeneous theorems

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