Complex multiplication

extension）的克罗内克－韦伯定理（英语：Kronecker–Weber theorem），擴展到任意的代數數域。利用複乘（英语：complex multiplication）已可將克罗内克－韦伯定理延伸到虛二次域。進一步的擴展（克羅內克的青春夢（德語：Kronecker

1961年：大阪大学教授 1964年~1999年：普林斯顿大学教授 谷山-志村猜想 Shimura, Goro; Taniyama, Yutaka, Complex multiplication of abelian varieties and its applications to number theory, Publications

curve E D / C {\textstyle E_{D}/\mathbb {C} } with complex multiplication（英语：complex multiplication） by Z [ τ D ] {\textstyle \mathbb {Z} [\tau _{D}]}

L-functions and Selmer varieties associated to elliptic curves with complex multiplication" （页面存档备份，存于互联网档案馆）, Annals of Mathematics "The motivic fundamental

§4A in Primes of the Form x2+ny2: Fermat, Class Field Theory and Complex Multiplication. New York: Wiley, 1989. Guy, R. K. "Gaussian Primes. Eisenstein-Jacobi