Metrical musings on Littlewood and friends

Host Institution:

La Trobe University

Title of Seminar:

Metrical musings on Littlewood and friends

Speaker's Name:

Prof Simon Kristensen

Speaker's Institution:

Aarhus University, Denmark

Time and Date:

Friday 23 March 2012, 2:00pm (AEDT)

Seminar 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.

Seminar Convenor:

This email address is being protected from spambots. You need JavaScript enabled to view it.

AGR IT support:

This email address is being protected from spambots. You need JavaScript enabled to view it.