• 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 TeuliƩ, 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.

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