학술논문
Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
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Working Paper
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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.
Comment: Addition of Remark 1.4, which explain the history of discovering of Theorem 1.1, correction of the equation (3.2), replacement of Example 3.7, 3.11 to be related to Example 3.6, 14 pages
Comment: Addition of Remark 1.4, which explain the history of discovering of Theorem 1.1, correction of the equation (3.2), replacement of Example 3.7, 3.11 to be related to Example 3.6, 14 pages