Articles

A Modish Glance of Integer Solutions to Non-homogeneous Cubic Diophantine Equation with Three Unknowns 7 (x2-xy+y2)= 12 z3

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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.

Integer Solutions to Sextic Equation with Five Unknowns xy(x+y)=4(z+R)w^5

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This paper deals with the problem of finding non-zero distinct integer solutions to the non-homogeneous sextic equation with five  unknowns given by . xy(x+y)=4(z+R)w^5