Thue and Thue-Mahler equations over rings of integers

Smart, Nigel P. (1997) Thue and Thue-Mahler equations over rings of integers. Journal of the London Mathematical Society, 56 (Part 3). pp. 455-462. ISSN 0024-6107. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1112/S0024610797005619

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 X-3-Y-3 root 2=+/-5(n) for X,Y is an element of Z[root 2].

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: T.J. Sango
Date Deposited: 12 May 2009 10:57
Last Modified: 25 Jun 2014 08:38
Resource URI: https://kar.kent.ac.uk/id/eprint/17958 (The current URI for this page, for reference purposes)
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