Introductory remarks on complex multiplication

[摘要] Complex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest. This interrelation is explored in an introductory expository fashion with emphasis on a central historical problem, the modular equation betweenj(z)andj(2z).

[学科分类] 数学（综合）