Projects per year
Abstract
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.
Original language  English 

Number of pages  22 
Publication status  Published  Jan 2011 
Projects
 1 Finished

Inhomogenous approximation on manifolds
15/02/08 → 14/04/11
Project: Research project (funded) › Research