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ON POLYNOMIAL SOLUTION OF THE HYPERBOLIC DIOPHANTINE EQUATION F2(U) - RG2(U) = N

Vinit Mor, Rahul
Page No. : 57-64

ABSTRACT

Let R>0 be square-free integer and F(u1, u2, ...,un) = 0 and G( u1, u2, ...,un) = 0 be polynomial equations.  For N = 1, we consider a hyperbolic Diophantine equation F2(x) - RG2(x) = 1. In this paper, we obtain polynomial solutions and some formulas of this Diophantine equation.


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