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

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

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A Parametric Family of Cubic Thue Equations
by
Alain Togbe
Purdue University North Central

We solve a family of Diophantine equations associated with a family of number fields of degree 3. In fact, we find all solutions to the Thue equation
x3 -(n3-2n2+3n-3) x2 y - n2 x y2 - y3 = +/- 1,
for n >= 1.

Date received: April 19, 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-48.