Research output: Contribution to journal › Article

Journal | Advances in Mathematics |
---|---|

Date | E-pub ahead of print - 12 Aug 2011 |

Date | Published (current) - 1 Dec 2011 |

Issue number | 5 |

Volume | 228 |

Number of pages | 31 |

Pages (from-to) | 2766-2796 |

Early online date | 12/08/11 |

Original language | English |

Let p be a prime number. The p-adic case of the Mixed Littlewood Conjecture states that View the MathML source for all a¿R. We show that with the additional factor of View the MathML source the statement is false. Indeed, our main result implies that the set of a for which View the MathML source is of full dimension. The result is obtained as an application of a general framework for Cantor sets developed in this paper.

- Diophantine approximation; , Littlewood Conjecture

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Project: Research project (funded) › Research

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Project: Research project (funded) › Research

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