Basic Number Theory

Inhaltsverzeichnis

• I. Elementary Theory.
• I. Locally compact fields.
• II. Lattices and duality over local fields.
• III. Places of A-fields.
• IV. Adeles.
• V. Algebraic number-fields.
• VI. The theorem of Riemann-Roch.
• VII. Zeta-functions of A-fields.
• VIII. Traces and norms.
• II. Classfield Theory.
• IX. Simple algebras.
• X. Simple algebras over local fields.
• XI. Simple algebras over A-fields.
• XII. Local classfield theory.
• XIII. Global classfield theory.
• Index of definitions.