21 citations · 124 across the 34 of their papers we have counts for
34 papers
Generalized mKdV Equation and Genus Two Jacobi Type Hyperelliptic Differential Equation
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We generalized the mKdV equation in order that the static equations include differential equation. As a result, a good correspondence was obtained between the KdV equati…
Gauss Metric on the Kummer Surface
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
On the Kummer surface, we have obtained two different Gauss metrices by parametrizing it in two ways. We have found that these Gauss metrices are not Ricci flat. The double sphere,…
A Quadratic Curve Analogue of the Taniyama-Shimura Conjecture
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
For quadratic curves over , the number of solutions, which is governed by an analogue of the Mordell-Weil group, is expressed with the Legendre symbol of a coefficient of quad…
Differential Equations of General Genus Hyperelliptic Functions
Kazuyasu Shigemoto
We review the Baker's method to obtain differential equations of the general genus hyperelliptic functions. Further, we demonstrate to obtain differential equations of genus…
Various Logistic Curves in SIS and SIR Models
Kazuyasu Shigemoto
In our previous paper, the logistic curve of the removed number was derived from SIR and SEIR models in the case of the small basic reproduction number. In this paper, we derive va…
The Lie Group Structure of Elliptic/Hyperelliptic Functions
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We consider the generalized dual transformation for elliptic/hyperelliptic functions up to genus three. For the genus one case, from the algebraic addition formula, we deduce…