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Basic Number Theory

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.

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