A GENERALISATION OF THE DIOPHANTINE EQUATION x^2+8∙7^b=y^2r

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Published: Jun 30, 2021
DOI: https://doi.org/10.22452/mjs.vol40no2.3
Keywords:
Diophantine equation polynomial integral solution generator geometric sequence

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Siti Hasana Sapar
Universiti Putra Malaysia
Kai Siong Yow
Universiti Putra Malaysia

Abstract

We investigate the integral solutions to the Diophantine equation  where . We first generalise the forms of  and  that satisfy the equation. We then show the general forms of non-negative integral solutions to the equation under several conditions. We also investigate some special cases in which the integral solutions exist.

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How to Cite
Sapar, S. H., & Yow, K. S. (2021). A GENERALISATION OF THE DIOPHANTINE EQUATION x^2+8∙7^b=y^2r. Malaysian Journal of Science, 40(2), 25–39. https://doi.org/10.22452/mjs.vol40no2.3
Issue
Vol 40 No 2 (2021): June
Section
Original Articles

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