Citation
Sihabudin, Nurul Amirah and Sapar, Siti Hasana and Mohamad Johari, Mohamad Aidil
(2015)
Simultaneous Pell equations.
In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-3).
Abstract
This paper will discuss the solutions on the simultaneous Pell equations x2 − my2 = 1 and y2 − 11z2 = 1 where m is square free. By looking at the pattern of the solutions, some theorems will be developed. The solutions to these simultaneous equations are (x, y, z, m) = (50i − 1, 10, 3, mi) and (50i + 1, 10, 3, mi) for some expressions of mi where i is natural number.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4954602 |
| Publisher: | AIP Publishing |
| Keywords: | Diophantine equations; Parity; Simultaneous Pell equations |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 26 Sep 2017 04:09 |
| Last Modified: | 26 Sep 2017 04:09 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4954602 |
| URI: | http://psasir.upm.edu.my/id/eprint/57356 |
| Statistic Details: | View Download Statistic |
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