Algebraic Number Theory

Name: Algebraic Number Theory
Author: Serge Lang

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Paperback, 357 blz. | Engels

Springer New York | 2e druk, 2013

ISBN13: 9781461269229

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Springer New York 2e druk, 2013 9781461269229

Onderdeel van serie Graduate Texts in Mathematics

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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

Specificaties

ISBN13:9781461269229

Taal:Engels

Bindwijze:paperback

Aantal pagina's:357

Uitgever:Springer New York

Druk:2

Serie:Graduate Texts in Mathematics

Inhoudsopgave

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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