Bound on some Diophantine equation
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...
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Malaysian Mathematical Sciences Society
2022
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my.upm.eprints.1005652023-10-10T02:13:08Z http://psasir.upm.edu.my/id/eprint/100565/ Bound on some Diophantine equation Amalulhair, N. H. Sapar, S. H. Johari, M. A. M. 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. Malaysian Mathematical Sciences Society 2022-07-29 Article PeerReviewed 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 https://myjms.mohe.gov.my/index.php/dismath/article/view/18943 |
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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. |
| format |
Article |
| author |
Amalulhair, N. H. Sapar, S. H. Johari, M. A. M. |
| spellingShingle |
Amalulhair, N. H. Sapar, S. H. Johari, M. A. M. Bound on some Diophantine equation |
| author_facet |
Amalulhair, N. H. Sapar, S. H. Johari, M. A. M. |
| author_sort |
Amalulhair, N. H. |
| title |
Bound on some Diophantine equation |
| title_short |
Bound on some Diophantine equation |
| title_full |
Bound on some Diophantine equation |
| title_fullStr |
Bound on some Diophantine equation |
| title_full_unstemmed |
Bound on some Diophantine equation |
| title_sort |
bound on some diophantine equation |
| publisher |
Malaysian Mathematical Sciences Society |
| publishDate |
2022 |
| url |
http://psasir.upm.edu.my/id/eprint/100565/ https://myjms.mohe.gov.my/index.php/dismath/article/view/18943 |
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