One General Basic Theory. - I Algebraic Integers. - II Completions. - III The Different and Discriminant. - IV Cyclotomic Fields. - V Parallelotopes. - VI The Ideal Function. - VII Ideles and Adeles. - VIII Elementary Properties of the Zeta Function and L-series. - Two Class Field Theory. - IX Norm Index Computations. - X The Artin Symbol Reciprocity Law and Class Field Theory. - XI The Existence Theorem and Local Class Field Theory. - XII L-series Again. - Three Analytic Theory. - XIII Functional Equation of the Zeta Function Hecke's Proof. - XIV Functional Equation Tate's Thesis. - XV Density of Primes and Tauberian Theorem. - XVI The Brauer-Siegel Theorem. - XVII Explicit Formulas. Language: English