Algebraic number theory
 Responsibility
 Serge Lang.
 Language
 English.
 Edition
 2nd ed.
 Imprint
 New York : SpringerVerlag, c1994.
 Physical description
 xiii, 357 p. : ill. ; 25 cm.
 Series
 Graduate texts in mathematics ; 110.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QA247 .L32 1994  Unknown 
QA247 .L32 1994  Unknown 
More options
Creators/Contributors
 Author/Creator
 Lang, Serge, 19272005.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 353354) and index.
 Contents

 Part I: General Basic Theory: 1. Algebraic Integers. 2. Completions. 3. The Different and Discriminant. 4. Cyclotomic Fields. 5. Paralellotopes. 6. The Ideal Function. 7. Ideles and Adeles. 8. Elementary Properties of the Zeta Function and Lseries. Part II: Class Field Theory: 9. Norm Index Computations. 10. The Artin Symbol, Reciprocity Law, and Class Field Theory. 11. The Existence Theorem and Local Class Field Theory. 12. Lseries Again. Part III: Analytic Theory: 13. Functional Equation of the Zeta Function, Hecke's Proof. 14. Functional Equation, Tate's Thesis. 15. Density of Primes and Tauberian Theorem. 16. The BrauerSiegel Theorem. 17. Explicit Formulas. Bibliography. Index.
 (source: Nielsen Book Data)9783540942252 20160527
 Publisher's Summary
 This textbook covers all of the basic material of classical algebraic and analytic number theory, giving the student the background necessary for the study of modern algebraic number theory. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideals and addles, and zeta functions. Part II covers class field theory and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the BrauerSiegel theorem, and Weil's explicit formulas which has been completely rewritten for the new edition.
(source: Nielsen Book Data)9783540942252 20160527  Covers the basic material of classical algebraic number theory. This book gives the student the background useful for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms.
(source: Nielsen Book Data)9780387942254 20160528
Subjects
Bibliographic information
 Publication date
 1994
 Series
 Graduate texts in mathematics ; 110
 ISBN
 0387942254 (New York)
 3540942254 (Berlin)
 9780387942254 (New York)
 9783540942252 (Berlin)