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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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Malaysian Mathematical Sciences Society
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100565/ https://myjms.mohe.gov.my/index.php/dismath/article/view/18943 |
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| Institution: | Universiti Putra Malaysia |
| Summary: | 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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