Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Divisible ℤ-modules
Futa, Yuichi, Shidama, Yasunari
Lattice of ℤ-module
Futa, Yuichi, Shidama, Yasunari
Dual Lattice of ℤ-module Lattice
Futa, Yuichi, Shidama, Yasunari
Implicit Function Theorem. Part I
Nakasho, Kazuhisa, Futa, Yuichi, Shidama, Yasunari
Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Isomorphism Theorem on Vector Spaces over a Ring
Futa, Yuichi, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Inverse Function Theorem. Part I1
Nakasho, Kazuhisa, Futa, Yuichi
Topological Properties of Real Normed Space
Nakasho, Kazuhisa, Futa, Yuichi, Shidama, Yasunari
Isomorphism between Spaces of Multilinear Maps and Nested Compositions over Real Normed Vector Spaces
Nakasho, Kazuhisa, Futa, Yuichi