2016Gulf Journal of MathematicsOpen access

The Diophantine equation x^3 + y^3 = 2z^2

Seddik Abdelalim, Hassan El Adlouni, Hassan Diany

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Abstract

In this paper. We are intersted to show the method of the solving of the Diophantine equation x3 + y3 = 2z2 by using the arithmetic technicals and the Diophantine equations x2 + 3y2 = z2 (see [1]) and x2 - 3y2 = 2z2

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What this paper is about

In this paper. We are intersted to show the method of the solving of the Diophantine equation x3 + y3 = 2z2 by using the arithmetic technicals and the Diophantine equations x2 + 3y2 = z2 (see [1]) and x2 - 3y2 = 2z2

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Available abstract

In this paper. We are intersted to show the method of the solving of the Diophantine equation x3 + y3 = 2z2 by using the arithmetic technicals and the Diophantine equations x2 + 3y2 = z2 (see [1]) and x2 - 3y2 = 2z2

Key concepts: Diophantine equation, Diophantine set, Legendre's equation, Mathematics, Thue equation, Diophantine geometry, Arithmetic, Pure mathematics

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