Research output: Contribution to journal › Article › peer-review

Journal | Advances in Mathematics |
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Date | Published - 15 Jan 2010 |

Issue number | 1 |

Volume | 223 |

Number of pages | 23 |

Pages (from-to) | 329-351 |

Original language | English |

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) [2], Dodson, Dickinson (2000) [18] and Beresnevich, Bernik, Kleinbock, Margulis (2002) [8]. In the case of planar curves, the complete Hausdorff dimension theory is developed. (C) 2009 Elsevier Inc. All rights reserved.

- Diophantine approximation, Lebesgues measure, Hausdorff dimension, Non-degenerate curve, Khintchine theorem, PLANAR CURVES, MANIFOLDS, THEOREM, CONVERGENCE

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