Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Lattice of ℤ-module
Futa, Yuichi, Shidama, Yasunari
Continuity of Bounded Linear Operators on Normed Linear Spaces
Nakasho, Kazuhisa, Futa, Yuichi, Shidama, Yasunari
Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Divisible ℤ-modules
Futa, Yuichi, Shidama, Yasunari
Dual Lattice of ℤ-module Lattice
Futa, Yuichi, Shidama, Yasunari
Isomorphism Theorem on Vector Spaces over a Ring
Futa, Yuichi, Shidama, Yasunari
Implicit Function Theorem. Part I
Nakasho, Kazuhisa, Futa, Yuichi, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Polynomially Bounded Sequences and Polynomial Sequences
Okazaki, Hiroyuki, Futa, Yuichi