Algebraic Number Theory / by Serge Lang.
The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which I make further comments at the appropriate place later. For different points of view, the reader i...
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Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1986.
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| Series: | Graduate texts in mathematics ;
110. |
| Subjects: |
Table of Contents:
- 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.