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arXiv · 2109.09639

Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$

Yasuaki Gyoda
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Abstract

In this paper, we give a specific way of describing positive integer solutions of a Diophantine equation $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$ and introduce a generalized cluster pattern behind it.

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Yasuaki Gyoda. 2022-09-17. Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$. https://arxiv.org/abs/2109.09639

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