Diophantine Equation X4+Y4=2(U4+V4)X^4+Y^4=2(U^4+V^4)

preprint2015arXivOpen access

Abstract

In this paper, the theory of elliptic curves is used for finding the solutions of the quartic Diophantine equation X4+Y4=2(U4+V4)X^4+Y^4=2(U^4+V^4) Keywords: Diophantine equation, Elliptic curve, Congruent number

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