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

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Published: 2016-12-28
DOI: https://doi.org/10.56947/gjom.v4i4.266
Keywords:
arithmetic, congruence of squares, Diophantine equation

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Seddik Abdelalim
Hassan El Adlouni
Hassan Diany

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

Article Details

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Vol. 4 No. 4 (2016): International Colloquium of Algebra, Number Theory, Cryptography and Information Security, Taza, Morocco

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Articles

How to Cite

The Diophantine equation x^3 + y^3 = 2z^2. (2016). Gulf Journal of Mathematics, 4(4). https://doi.org/10.56947/gjom.v4i4.266