By Ehud De Shalit

Within the final fifteen years the Iwasawa thought has been utilized with notable good fortune to elliptic curves with complicated multiplication. a transparent but common exposition of this thought is gifted during this book.

Following a bankruptcy on formal teams and native devices, the p-adic L features of Manin-Vishik and Katz are built and studied. within the 3rd bankruptcy their relation to type box conception is mentioned, and the functions to the conjecture of Birch and Swinnerton-Dyer are handled in bankruptcy four. complete proofs of 2 theorems of Coates-Wiles and of Greenberg also are offered during this bankruptcy which can, additionally, be used as an advent to the newer paintings of Rubin.

The publication is basically self-contained and assumes familiarity purely with primary fabric from algebraic quantity thought and the idea of elliptic curves. a few effects are new and others are provided with new proofs.