割圆方程[Cyclotomic Equation] - 达人(其实～我是卧底，来自外星)

2005/08/23 | 割圆方程[Cyclotomic Equation]
类别(∑〖数学〗) | 评论(0) | 阅读(39) | 发表于 20:26: The equation

where solutions are the roots of unity sometimes called de Moivre numbers. Gauss showed that the cyclotomic equation can be reduced to solving a series of quadratic equations whenever is a Fermat prime. Wantzel (1836) subsequently showed that this condition is not only sufficient, but also necessary. An "irreducible" cyclotomic equation is an expression of the form

where is prime. Its roots satisfy; 0