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Inhomogeneous Diophantine approximation on curves and Hausdorff dimension (2010)
Journal Article
Badziahin, D. (2010). Inhomogeneous Diophantine approximation on curves and Hausdorff dimension. Advances in Mathematics, 223(1), 329-351. https://doi.org/10.1016/j.aim.2009.08.005

The goal of this paper is to develop a coherent theory for inhomogeneous Diophantine approximation on curves in RnRn akin to the well established homogeneous theory. More specifically, the measure theoretic results obtained generalize the fundamental... Read More about Inhomogeneous Diophantine approximation on curves and Hausdorff dimension.