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Turku Symposium on Number Theory in Memory of Kustaa Inkeri
May 31 - June 4, 1999
University of Turku
Turku, Finland

Organizers
Matti Jutila, Tauno Metsänkylä

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A survey on Catalan's equation
by
Maurice Mignotte
University Louis Pasteur

We present the new results obtained on Catalan's equation during the last decade. This includes: upper bounds and lower bounds for exponents, new criteria à la Inkeri, arithmetical properties of exponents, study on relative class-numbers. We shall also discuss which progress can be expected in the next future.

Date received: April 7, 1999


Copyright © 1999 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 # cacf-23.