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Introduction to cyclotomic fields / Lawrence C. Washington

Auteur principal : Washington, Lawrence C., 1951-, AuteurType de document : MonographieCollection : Graduate texts in mathematics, 83Langue : anglais.Pays : Etats Unis.Éditeur : New York : Springer-Verlag, 1982Description : 1 vol. (XI-389 p.) ; 24 cmISBN : 9780387906225.ISSN : 0072-5285.Bibliographie : Bibliogr. p. 361-385. Index.Sujet MSC : 11R18, Number theory -- Algebraic number theory: global fields, Cyclotomic extensions
11R23, Number theory -- Algebraic number theory: global fields, Iwasawa theory
11R37, Number theory -- Algebraic number theory: global fields, Class field theory
11R42, Number theory -- Algebraic number theory: global fields, Zeta functions and L-functions of number fields
11R27, Number theory -- Algebraic number theory: global fields, Units and factorization
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Bibliogr. p. 361-385. Index

1. Fermat's last theorem, 2. Basic results, 3. Dirichlet characters, 4. Dirichlet L-series and class number formulas, 5. p-adic L-functions and Bernoulli numbers, 6. Stickelberger's theorem, 7. Iwasawa's construction of p-adic L-functions, 8. Cyclotomic units, 9. The second case of Fermat's last theorem, 10. Galois groups acting on ideal class groups, 11. Cyclotomic fields of class number one, 12. Measures and distributions, 13. Iwasawa's theory of Zp-extensions, 14. The Kronecker-Weber theorem.

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