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

Malaysian Journal of Science（2021）

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摘要

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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