Diophantine Equation $X^4+Y^4=2(U^4+V^4)$

Farzali Izadi; Kamran Nabardi

arxiv: 1501.05803 · v1 · pith:3F5UMEJUnew · submitted 2015-01-23 · 🧮 math.NT

Diophantine Equation X⁴+Y⁴=2(U⁴+V⁴)

Farzali Izadi , Kamran Nabardi This is my paper

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keywords diophantineequationellipticcongruentcurvecurvesfindingkeywords

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

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Diophantine Equation X⁴+Y⁴=2(U⁴+V⁴)

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