The solution of Diophantine equation 48x+84y=z2

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Keywords:
exponential Diophantine equation Catalan's conjecture quadratic congruence

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Napassanan Srisarakham
Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University
Montri Thongmoon
Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University

Abstract

In this paper, the researchers studied the solutions of Diophantine equation 48x+84y = Z2m where x, y and z were non-negative integers. The researchers showed that the Diophantine equation  48x+84y = Z2 had a unique non-negative integers solution (x, y, z) = (1, 0, 7) .

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How to Cite
Srisarakham, N., & Thongmoon, M. (2016). The solution of Diophantine equation 48x+84y=z2. RMUTSB ACADEMIC JOURNAL, 4(2), 140–148. Retrieved from https://li01.tci-thaijo.org/index.php/rmutsb-sci/article/view/99592
Issue
Vol. 4 No. 2 (2016): July - December (กรกฎาคม - ธันวาคม 2559)
Section
Research Article

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