Atlas home || Conferences | Abstracts | about Atlas

Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

View Abstracts
Conference Homepage

Diophantine approximation and Cantor sets
by
Yann Bugeaud
Université Louis Pasteur, Strasbourg

We provide an explicit construction of elements of the middle third Cantor set with any prescribed irrationality exponent. This answers a question posed by Kurt Mahler. We also survey related results and establish that there exist automatic real numbers with any prescribed rational irrationality exponent.

Date received: April 13, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-20.