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.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.NT2021

Positive integer solutions to $(x + y)^{2} + (y + z)^{2} + (z + x)^{2} = 12 x y z$

Yasuaki Gyoda

In this paper, we give a specific way of describing positive integer solutions of a Diophantine equation $(x + y)^{2} + (y + z)^{2} + (z + x)^{2} = 12 x y z$ and introduce a generalized cluster pattern…

math.NT2020

Cluster duality between Calkin-Wilf tree and Stern-Brocot tree

Yasuaki Gyoda

We find a duality between two well-known trees, the Calkin-Wilf tree and the Stern-Brocot tree, derived from cluster algebra theory. The vertex sets of these trees are the set of r…

Generalization of Markov Diophantine equation via generalized cluster algebra

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

Cluster duality between Calkin-Wilf tree and Stern-Brocot tree

Positive integer solutions to $(x + y)^{2} + (y + z)^{2} + (z + x)^{2} = 12 x y z$