AMSI EVENT Speaker: A/Prof Simon Kristensen, Aarhus University Title: Metrical musings on Littlewood and friends Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle Access Grid Venue: LTU [ENQUIRIES] Time and Date: 2:00 pm, Fri, 23rd Mar 2012 Abstract: The celebrated Littlewood conjecture in Diophantine approximation concerns the simultaneous approximation of two real numbers by rationals with the same denominator. A cousin of this conjecture is the mixed Littlewood conjecture of de Mathan and Teulié, which is concerned with the approximation of a single real number, but where some denominators are preferred to others. In the talk, we will derive a metrical result extending work of Pollington and Velani on the Littlewood conjecture. Our result implies the existence of an abundance of numbers satisfying both conjectures. [Permanent link]