Y. Gyoda

activity

20182022

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Be cross sections for Big-Bang nucleosynthesis

24 citations · 33 across the 10 of their papers we have counts for

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math.RT2022

Lattice structure in cluster algebra of finite type and non-simply-laced Ingalls-Thomas bijection

Yasuaki Gyoda

In this paper, we demonstrate that the lattice structure of a set of clusters in a cluster algebra of finite type is anti-isomorphic to the torsion lattice of a certain Geiss-Lecle…

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,…