Algebraic Number Theory

Name: Algebraic Number Theory
Price: 42.44 USD
Availability: InStock
ISBN: 9780387942254

ISBN-10: 0387942254

ISBN-13: 9780387942254

Edition: 2nd 1994 (Revised)

Authors: Serge A. Lang

List price: $79.99

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Description:

This is a corrected printing of the 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. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to…

Book details

List price: $79.99
Edition: 2nd
Copyright year: 1994
Publisher: Springer New York
Publication date: 6/24/1994
Binding: Hardcover
Pages: 357
Size: 6.10" wide x 9.25" long x 1.00" tall
Weight: 1.540
Language: English

Lang, Yale University, New Haven, CT.




Algebraic Integers



Completions



The Different and Discriminant



Cyclotomic Fields



Parallelotopes



The Ideal Function



Ideles and Adeles



Elementary Properties of the Zeta Function and L-series



Norm Index Computations



The Artin Symbol, Reciprocity Law, and Class Field Theory



The Existence Theorem and Local Class Field Theory



L-series Again



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