Yoshihiro Ônishi
Abstract
Let ℘(u) be a Weierstrass elliptic function satisfying ℘ ′(u) 2 = 4℘(u) 3 − 1. Let ζ: = e 2πi 3. Then ℘(u) has a property ℘(−ζu) = ζ℘(u). If b is an element of Z[ζ], the integer ring generated by ζ, we have a b-multiplication formula of ℘(u). If b is
OpenAlex reports 44 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let ℘(u) be a Weierstrass elliptic function satisfying ℘ ′(u) 2 = 4℘(u) 3 − 1. Let ζ: = e 2πi 3. Then ℘(u) has a property ℘(−ζu) = ζ℘(u). If b is an element of Z[ζ], the integer ring generated by ζ, we have a b-multiplication formula of ℘(u). If b is
Key concepts: Mathematics, Hyperelliptic curve, Hyperelliptic curve cryptography, Multiplication (music), Genus, Pure mathematics, Arithmetic, Complex multiplication