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

Journal | Annals of Mathematics |
---|---|

Date | Published - Nov 2011 |

Issue number | 3 |

Volume | 174 |

Number of pages | 46 |

Pages (from-to) | 1837-1883 |

Original language | English |

For any i,j≥0 with i+j=1 , let Bad(i,j) denote the set of points (x,y)∈R 2 for which max{∥qx∥ 1/i ,∥qy∥ 1/j }>c/q for all q∈N . Here c=c(x,y) is a positive constant. Our main result implies that any finite intersection of such sets has full dimension. This settles a conjecture of Wolfgang M. Schmidt in the theory of simultaneous Diophantine approximation.

- Number Theory

## Inhomogenous approximation on manifolds

Project: Research project (funded) › Research

## Classical metric Diophantine approximation revisited

Project: Research project (funded) › Research

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