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Algebraic Number Theory

Serge Lang
Publisher: 
Springer Verlag
Publication Date: 
1994
Number of Pages: 
357
Format: 
Hardcover
Series: 
Graduate Texts in Mathematics 110
Price: 
54.95
ISBN: 
0-387-94225-4
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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Part I: General Basic Theory: Algebraic Integers. Completions. The Different and Discriminant. Cyclotomic Fields. Paralellotopes. The Ideal Function. Ideles and Adeles. Elementary Properties of the Zeta Function and L-series.- Part II: Class Field Theory: Norm Index Computations. The Artin Symbol, Reciprocity Law, and Class Field Theory. The Existence Theorem and Local Class Field Theory. L-series Again.- Part III: Analytic Theory: Functional Equation of the Zeta Function, Hecke's Proof. Functional Equation, Tate's Thesis. Density of Primes and Tauberian Theorem. The Brauer-Siegel Theorem. Explicit Formulas.- Bibliography.- Index.

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