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

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arxiv 2109.09639 v4 pith:RH34BA6Y submitted 2021-09-20 math.NT math.CO

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

classification math.NT math.CO
keywords integerpositivesolutionsbehindclusterdescribingdiophantineequation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

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