# Cyclotomic fields / Serge Lang

Type de document : MonographieCollection : Graduate texts in mathematics, 59Langue : anglais.Pays: Etats Unis.Éditeur : New York : Springer, 1978Description : 1 vol. (XI-253 p.) ; 24 cmISBN: 9780387903071.ISSN: 0072-5285.Bibliographie : Bibliogr. p. 244-249. Index.Sujet MSC : 11R18, Algebraic number theory: global fields, Cyclotomic extensions11R32, Algebraic number theory: global fields, Galois theory

11R52, Algebraic number theory: global fields, Quaternion and other division algebras: arithmetic, zeta functions

11S40, Algebraic number theory: local and p-adic fields, Zeta functions and L-functions

14L05, Algebraic geometry - Algebraic groups, Formal groups, p-divisible groupsEn-ligne : Springerlink | MathSciNet | Zentralblatt Item type: Monographie

Current library | Call number | Status | Date due | Barcode |
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CMI Salle R | 11 LAN (Browse shelf(Opens below)) | Available | 06565-01 |

The theory of cyclotomic fields has received a new life from recent work of Iwasawa, Leopoldt, Coates and Wiles, and Kubert and the author. The present book is intended as an introduction to the cyclotomic theory underlying their work. As such, it is weighted heavily toward modern developments while omitting several classical topics which one might expect in a book of its title, for example, the Kronecker-Weber theorem and Fermat's last theorem.

The author assumes a solid background in algebraic number theory. Some background in class field will be helpful; in fact, the more, the better. The reader who has not been exposed to the ideas in the book will perhaps find some parts lacking in motivation. However, he should subsequently find the original papers easier to understand. (MathSciNet)

Bibliogr. p. 244-249. Index

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