Pub. Date:
Springer New York
Algebraic Number Theory / Edition 2

Algebraic Number Theory / Edition 2

by Serge Lang
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This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms.

"Lang's books are always of great value for the graduate student and the research mathematician. This updated edition of Algebraic number theory is no exception."—-MATHEMATICAL REVIEWS

Product Details

ISBN-13: 9780387942254
Publisher: Springer New York
Publication date: 07/19/2000
Series: Graduate Texts in Mathematics , #110
Edition description: 2nd ed. 1994. Corr. 3rd printing 2000
Pages: 357
Sales rank: 1,268,713
Product dimensions: 6.40(w) x 9.40(h) x 1.10(d)

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.

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