Kodai Matsushita

most citedConsistency relations of rank 2 cluster scattering diagrams of affine type and pentagon relation

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math.NT2022

Generalization of Markov Diophantine equation via generalized cluster algebra

Yasuaki Gyoda, Kodai Matsushita

In this paper, we deal with two classes of Diophantine equations, $x^{2} + y^{2} + z^{2} + k_{1} y z + k_{2} z x + k_{3} x y = (3 + k_{1} + k_{2} + k_{3}) x y z$ and $x^{2} + y^{4} + z^{4} + k y^{2} z^{2} + 2 x z^{2} + 2 x y^{2} = (7 + k) x y^{2} z^{2}$ , where $k_1,…