SMS scnews item created by Andrew Mathas at Thu 15 Mar 2012 1447
Type: Seminar
Distribution: World
Expiry: 23 Mar 2012
Calendar1: 23 Mar 2012 1400-1500
CalLoc1: AGR Carslaw 829
CalTitle1: AGR Seminar
Auth: mathas@pmathas.pc (assumed)

AGR Seminar

Metrical musings on Littlewood and friends

Prof Simon Kristensen (Aarhus University, Denmark)

Host Venue/b> La Trobe University

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 Teuliť, 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.

Seminar Convenor Dr Yury Nikolayevsky

How to participate in this seminar

  1. Check to see if the school's grid is already booked at this time and let Robert Pearson know that you would like to attend.
  2. Send an email to Yury Nikolayevsky using the link above to advise that you will be attending the seminar.

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