3 citations · 8 across the 8 of their papers we have counts for
8 papers · 1 filter
Minimal equations and values of generalized lambda functions
Noburo Ishii
In our preceding article, we defined a generalized lambda function and showed that the genaralized lambda function and the modular invariant function generate the modular function…
Generators of modular function fields obtained from generalized lambda functions
Noburo Ishii
We define a modular function which is a generalization of the elliptic modular lambda function. We show this function and the modular invariant function generate the modular functi…
Special values of generalized functions at imaginary quadratic points
Noburo Ishii
We study a modular function which is one of generalized functions. We show and the modular invariant function generate the modular function field…
Singular values of generalized functions
Noburo Ishii
We study special values of a modular function which is one of generalized functions. We show special values of at imaginary quadratic points are algebraic integers. Fur…
Singular values of some modular functions
Noburo Ishii, Maho Kobayashi
We study the properties of special values of the modular functions obtained from Weierstrass P-function at imaginary quadratic points.
N-systems, class polynomials for double eta-quotients and singular values of J-invariant function
Shunsuke Yoshimura, Aya Comuta, Noburo Ishii
Enge and Schertz gave the method of using the double eta-quotient for the construction of elliptic curves over finite fields. In their method, it is necessary to count the number o…