Class Field Theory - The Role of Class Field Theory in Algebraic Number Theory

The Role of Class Field Theory in Algebraic Number Theory

Class field theory is the key part and the heart of algebraic number theory. It has thousands of applications in number theory. Via the theory of zeta integrals initiated by Kenkichi Iwasawa and by John Tate in Tate's thesis it is related to the study of the zeta function of global fields.

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