Atlas Mathematical Conference Abstracts || Conferences | Abstracts | for Organizers | About AMCA

Canadian Number Theory Association VIII Meeting
June 20-25, 2004
The Fields Institute
Toronto, ON, Canada

Organizers
John Friedlander (Toronto) and Cam Stewart (Waterloo)

View Abstracts
Conference Homepage

Fibonacci powers are 1, 8, and 144, only.
by
Yann Bugeaud
Universit\Že Louis Pasteur, Strasbourg
Coauthors: Maurice Mignotte, Samir Siksek

We show that the only perfect powers in the Fibonacci sequence are 1, 8, and 144. The proof ultimately depends on Baker's theory of linear forms in logarithms and of a Frey curve/level-lowering approach.

Paper reference: arXiv:math.NT/0403046

Date received: April 22, 2004

Copyright © 2004 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 Mathematical Conference Abstracts. Document # calz-55.