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

2021/09/20 by Gyoda, Yasuaki · 2 citations
#11D25 #13F60 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2109.09639

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.

Cited by

• Generalized discrete Markov spectra
• Divisibility by p for Markoff-like Surfaces

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