Smart, N.P. (1997) Thue and Thue-Mahler equations over rings of integers. Journal of the London Mathematical Society-Second Series, 56 (Part 3). pp. 455-462. ISSN 0024-6107.
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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: | 12 May 2009 10:57 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/17958 (The current URI for this page, for reference purposes) |
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