Divisible ℤ-modules
Futa, Yuichi, Shidama, Yasunari
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Quotient Module of Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Polynomially Bounded Sequences and Polynomial Sequences
Okazaki, Hiroyuki, Futa, Yuichi
Inverse Function Theorem. Part I1
Nakasho, Kazuhisa, Futa, Yuichi
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari