International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 4, Pages 675-690
doi:10.1155/S0161171282000623

Introductory remarks on complex multiplication

Abstract

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 between j(z) and j(2z).