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THUE AND THUE–MAHLER EQUATIONS OVER RINGS OF INTEGERS

Published online by Cambridge University Press:  01 December 1997

N. P. SMART
N. P. SMART
Affiliation:
Institute of Mathematics and Statistics, University of Kent at Canterbury, Canterbury, Kent CT2 7NF Present address: Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol BS12 6QZ. E-mail: [email protected]
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Abstract

A method is given to solve any Thue–Mahler equation when the coefficients and variables come from the ring of integers of a number field. The method involves using an algorithm for solving an S-unit equation and a method of reducing the number of exponential variables. The method is used to solve the equation

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Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 455 - 462
Copyright
The London Mathematical Society 1997

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