1 Table of Contents: “... and Applications -- Local Class Field Theory...”

2 Table of Contents: “...Cohomology of Finite Groups -- Local Class Field Theory -- Global Class Field Theory...”

3 Table of Contents: “... theory: the reciprocity law -- 10 The Tate local duality theorem -- 11 Local class field theory: Lubin...”

4 Table of Contents: “... Work -- 3. Reminiscing Helmut Hasse -- 4. Reciprocity Laws for Power Residues -- 5. Class Field Theory...”

5 “... were exchanged between them in the years 1925-1935. It features a special chapter on class field theory...”

6 Table of Contents: “... -- From the Local-Global Principle to the Main Theorem -- The Brauer Group and Class Field Theory...”

7 Table of Contents: “... Fields -- to Class Field Theory -- Cyclotomic Function Fields -- Drinfeld Modules -- Automorphisms...”

8 “...If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical...”

9 Table of Contents: “... -- Crossed Products -- The Brauer Group of a Local Field -- Local Class Field Theory -- Semisimple...”

10 Table of Contents: “... of homologically wide actions -- Chapter. 10. Homological wideness, “class field theory” for covers, and a number...”

11 Table of Contents: “... and the Class Number Formula -- 8: The Distribution of Primes and an Introduction to Class Field Theory...”

12 “... with an arbitrary number field as the base field. So the reader familiar with class field theory will be able...”

13 Table of Contents: “...Some computational experiments in number theory -- Applications of the class field theory of global...”

14 Table of Contents: “... – Genus Theory -- Chapter 7. Idelic Class Field Theory for 3-Manifolds and Number Fields -- Chapter 8...”

15 “...Classical valuation theory has applications in number theory and class field theory as well...”

16 “... and to keep the text self-contained. Only in the proof of Thaine’s theorem is a little class field theory used...”

17 “... on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory...”

18 “... of class field theory, recursive computability and Diophantine equations, zeta- and L-functions...”

19 “... of Witt vectors, the Schur group of a field, and local class field theory. Both volumes contain numerous...”

20 “... with Taussky’s approach to classical class field theory during a difficult time when both were trying to find...”