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arXiv:2109.09639 [math.NT]AbstractReferencesReviewsResources

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

Yasuaki Gyoda

Published 2021-09-20Version 1

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.

Comments: 7 pages
Categories: math.NT, math.CO
Subjects: 11D25, 13F60
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