代數(shù)數(shù)論（影印版）

Chapter Ⅰ：Algebraic Integers
　1. The Gaussian Integers
　2. Integrality
　3. Ideals
　4. Lattices
　5. Minkowski Theory
　6. The Class Number
　7. Dirichlet's Unit Theorem
　8. Extensions of Dedekind Domains
　9. Hilbert's Ramification Theory
　10. Cyclotomic Fields
　11. Localization
　12. Orders
　13. One-dimensional Schemes
　14. Function Fields
Chapter Ⅱ：The Theory of Valuations
　1. The p-adic Numbers
　2. The p-adic Absolute Value
　3. Valuations
　4. Completions
　5. Local Fields
　6. Henselian Fields
　7. Unramified and Tamely Ramified Extensions
　8. Extensions of Valuations
　9. Galois Theory of Valuations
　10. Higher Ramification Groups
Chapter Ⅲ：Riemann-Roeh Theory
　1. Primes
　2. Different and Discriminant
　3. Riemann-Roch
　4. Metrized o-Modules
　5. Grothendieck Groups
　6. The Chern Character
　7. Grothendieck-Riemann-Roch
　8. The Euler-Minkow.ski Characteristic
Chapter Ⅳ：Abstract Class Field Theory
　1. Infinite Galois Theory
　2. Projective and Inductive Limits
　3. Abstract Galois Theory
　4. Abstract Valuation Theory
　5. The Reciprocity Map
　6. The General Reciprocity Law
　7. The Herbrand Quotient
Chapter Ⅴ：Local Class Field Theory
　1. The Local Reciprocity Law
　2. The Norm Residue Symbol over Q（p）
　3. The Hilbert Symbol
　4. Formal Groups
　5. Generalized Cyclotomic Theory
　6. Higher Ramification Groups
Chapter Ⅵ：Global Class Field Theory
　1. Idèles and Idèle Classes
　2. Idèles in Field Extensions
　3. The Herbrand Quotient of the Idèle Class Group
　4. The Class Field Axiom
　5. The Global Reciprocity Law
　6. Global Class Fields
　7. The Ideal-Theoretic Version of Class Field Theory
　8. The Reciprocity Law of the Power Residues
Chapter Ⅶ：Zeta Functions and L-series
　1. The Riemann Zeta Function
　2. Dirichlet L-series
　3. Theta Series
　4. The Higher-dimensional Gamma Function
　5. The Dedekind Zeta Function
　6. Hecke Characters
　7. Theta Series of Algebraic Number Fields
　8. Hecke L-series
　9. Values of Dirichlet L-series at Integer Points
　10. Artin L-series
　11. The Artin Conductor
　12. The Functional Equation of Artin L-series
　13. Density Theorems
Bibliography
Index