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Binary Third degree Diophantine Equation 5 (x-y)3 = 8xy

N Thiruniraiselvi1* and M A Gopalan2

1Department of Mathematics, School of Engineering and Technology, Dhanalakshmi Srinivasan University, Samayapuram, Trichy, Tamil Nadu India .

2Department of Mathematics, Shrimati Indira Gandhi College, Affiliated to Bharathidasan University, Trichy, Tamil Nadu India .

Corresponding author Email: drntsmaths@gmail.com

This article emphasizes on finding non-zero different integer solutions to binary third degree Diophantine equation 5 (x-y)3 = 8xy . Two different sets of solutions in integers are presented. Some fascinating relations from the solutions are obtained. The method to get second order Ramanujan   numbers is illustrated.


Binary cubic; Integer Solutions; Non-homogeneous cubic; Ramanujan numbers

Copy the following to cite this article:

Thiruniraiselvi N, Gopalan M. A. Binary Third degree Diophantine Equation 5 (x-y)3 = 8xy. Oriental Jornal of Physical Sciences 2024; 9(1).

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Thiruniraiselvi N, Gopalan M. A. Binary Third degree Diophantine Equation 5 (x-y)3 = 8xy. Oriental Jornal of Physical Sciences 2024; 9(1). Available here:https://bit.ly/3VCQxCi

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