Citation
Amalulhair, N. H. and Sapar, S. H. and Johari, M. A. M.
(2022)
Bound on some Diophantine equation.
Menemui Matematik (Discovering Mathematics), 44 (1).
28 - 34.
ISSN 0126-9003
Abstract
Diophantine equation is known as a polynomial equation with two or more unknowns which only integral solutions are sought. This paper will concentrate on finding the least upper bound to the Diophantine equation x 2 + 2a 7 b = y n for 1 ≤ α ≤ 8 and found that there exists an integral solution to the equation for y = 2 and y > 2 with the bound on n < 15,000 and n < 11,000 respectively.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Malaysian Mathematical Sciences Society |
| Keywords: | Diophantine equation; Exponential Diophantine equation; Baker’s method; Local method |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 10 Oct 2023 02:13 |
| Last Modified: | 10 Oct 2023 02:13 |
| URI: | http://psasir.upm.edu.my/id/eprint/100565 |
| Statistic Details: | View Download Statistic |
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