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Millennial Conference on Number Theory
May 21-26, 2000
University of Illinois
Urbana, IL, USA

Organizers
B.C. Berndt, N. Boston, H.G. Diamond, A.J. Hildebrand, W. Philipp

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Diophantine equations in roots of unity
by
Frits Beukers
University of Utrecht
Coauthors: C.Smyth (University of Edinburgh)

We consider equations of the form F(\zeta1, \zeta2, ... , \zetan)=0 where F is a polynomial with integer coefficients and the unknowns \zetai are roots of unity. We discuss some applications of this equation and an algorithm to solve it in case n=2. In that case one can also give a good upper bound for the number of solutions.

Date received: March 10, 2000

Copyright © 2000 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 # cadx-70.