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. (doi:10.1112/S0024610797005619) (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) (KAR id:17958)
| 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. | |
| 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 |
|---|---|
| DOI/Identification number: | 10.1112/S0024610797005619 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | T.J. Sango |
| Date Deposited: | 12 May 2009 10:57 UTC |
| Last Modified: | 16 Nov 2021 09:56 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/17958 (The current URI for this page, for reference purposes) |
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