Jugendtraum - 达人(其实～我是卧底，来自外星)

2006/10/01 | Jugendtraum
类别(∑〖数学〗) | 评论(0) | 阅读(22) | 发表于 13:10: The German mathematician Kronecker proved that all the Galois extensions of the rationals Q with Abelian Galois groups are subfields of cyclotomic fields , where is the group of th roots of unity. He then sought to find a similar function whose division values would generate the Abelian extensions of an arbitrary number field. He discovered that the j-function works for imaginary quadratic fields , but the completion of this problem, known as Kronecker's Jugendtraum ("dream of youth"), for more general fields remains one of the great unsolved problems in [/u]number theory[/u].; 0