From the reviews: "L.R. Shafarevich showed me the first edition […] and said that this book will be from now on the book about class field theory. In fact it is by far the most complete treatment of the main theorems of algebraic number theory, including function fields over finite constant fields, that appeared in book form." Zentralblatt MATH
|Publisher:||Springer Berlin Heidelberg|
|Series:||Classics in Mathematics Series|
|Edition description:||3rd ed. 1973|
|Product dimensions:||0.71(w) x 6.14(h) x 9.21(d)|
Table of Contents
Elementary Theory: Locally compact fields.- Lattices and duality over local fields.- Places of A-fields.- Adeles.- Algebraic number fields.- The theorem of Riemann-Roch.- Zeta-functions of A-fields.- Traces and norms.- Classfield Theory: Simple algebras.- Simple algebras over local fields.- Simple algebras over A-fields.- Local classfield theory.- Global classfield theory.