Abstract :

The main thrust of this paper is focused on determining varieties of non-zero distinct integer solutions to the non-homogeneous ternary cubic Diophantine  equation 7 (x²-xy+y²)= 12 z³ . Various choices of integer solutions to the above equation are obtained by reducing it to the equation which is solvable, through employing suitable transformations and applying the factorization method.

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Keywords :

integer solutions., non-homogeneous cubic, ternary cubic

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References :

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