Research output: Working paper › Preprint

Date | Published - Jan 2011 |
---|---|

Number of pages | 22 |

Original language | English |

The Littlewood Conjecture states that liminf_{q\to \infty} q . ||qx|| . ||qy|| = 0 for all pairs (x,y) of real numbers. We show that with the additional factor of log q . loglog q the statement is false. Indeed, our main result implies that the set of (x,y) for which liminf_{q\to\infty} q . log q . loglog q . ||qx|| . ||qy|| > 0 is of full dimension.

## Inhomogenous approximation on manifolds

Project: Research project (funded) › Research

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