Kodai Matsushita

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

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

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,…

math.QA2021★ 2 cited

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

Kodai Matsushita

In this paper, we prove the consistency relations of rank $2$ cluster scattering diagrams of affine type by using the pentagon relation.