Bound on some Diophantine equation

• Main Authors: Amalulhair, N. H., Sapar, S. H., Johari, M. A. M.
• Format: Article
• Published: Malaysian Mathematical Sciences Society 2022
• Online Access: http://psasir.upm.edu.my/id/eprint/100565/; https://myjms.mohe.gov.my/index.php/dismath/article/view/18943
• Institution: Universiti Putra Malaysia

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...