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Cyclotomic fields / Serge Lang

Auteur principal : Lang, Serge, 1927-2005, AuteurType 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, Number theory -- Algebraic number theory: global fields, Cyclotomic extensions
11R32, Number theory -- Algebraic number theory: global fields, Galois theory
11R52, Number theory -- Algebraic number theory: global fields, Quaternion and other division algebras: arithmetic, zeta functions
11S40, Number theory -- Algebraic number theory: local and p-adic fields, Zeta functions and L-functions
14L05, Algebraic geometry -- Algebraic groups, Formal groups, p-divisible groups
En-ligne : Springerlink | MathSciNet | Zentralblatt
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11 LAN (Browse shelf) 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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