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Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2) - Serge Lang
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Serge Lang:
Cyclotomic Fields I and II (Graduate Texts in Mathematics) (v. 1-2) - livre d'occasion

ISBN: 0387966714

ID: 7676913

Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer's work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950's, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the complex L-functions attached to cyclotomic extensions of the rationals. Finally, in the late 1960's, Iwasawa [Iw 11] made the fundamental discovery that there was a close connection between his work on towers of cyclotomic fields and these p-adic L-functions of Leopoldt - Kubota. algebra,algebra and trigonometry,mathematics,number theory,pure mathematics,science and math,science and math,textbooks Mathematics, Springer

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Cyclotomic fields: v. 1-2 - Lang, s.
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Lang, s.:
Cyclotomic fields: v. 1-2 - nouveau livre

ISBN: 9780387966717

ID: 9cf0a4307c28452b1b1f7719b264e0fe

Kummers work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummers work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950s, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and, [PU: Springer]

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Cyclotomic Fields I-II - Lang, Serge
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Lang, Serge:
Cyclotomic Fields I-II - livre d'occasion

ISBN: 9780387966717

ID: 1187025

This book is a combined edition of the books previously published as "Cyclotomic Fields, Vol. I and II." It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the ideal class group. Cyclotomic Fields I-II Lang, Serge, Springer

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Cyclotomic Fields I and II - Karl Rubin; Serge Lang
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Karl Rubin; Serge Lang:
Cyclotomic Fields I and II - nouveau livre

ISBN: 9780387966717

ID: 9780387966717

Mathematics; Number Theory Cohomology, Prime, algebra, finite field, homomorphism, number theory Books Book, Springer Science+Business Media

Nouveaux livres Springer.com
Combining the works previously published as Cyclotomic Fields, V. I & II, this book introduces these number fields, which are of great interest in classical number theory and other areas such as K-theory. Covers p-adic L-functions, Iwasawa theory, and mor Frais d'envoizzgl. Versandkosten, Livraison non-comprise
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Cyclotomic Fields - Serge Lang
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Serge Lang:
Cyclotomic Fields - edition reliée, livre de poche

1989, ISBN: 9780387966717

ID: 1176437

[ED: 2], 2nd ed. 1990, Hardcover, Buch, [PU: Springer-Verlag New York Inc.]

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Détails sur le livre
Cyclotomic Fields I and II
Auteur:

Lang, Serge

Titre:

Cyclotomic Fields I and II

ISBN:

This book is a combined edition of the books previously published as Cyclotomic Fields, Vol. I and II. It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the ideal class group.

Informations détaillées sur le livre - Cyclotomic Fields I and II


EAN (ISBN-13): 9780387966717
ISBN (ISBN-10): 0387966714
Version reliée
Date de parution: 2007
Editeur: Springer-Verlag GmbH
458 Pages
Poids: 0,877 kg
Langue: eng/Englisch

Livre dans la base de données depuis 28.05.2007 14:44:13
Livre trouvé récemment le 11.07.2017 13:15:05
ISBN/EAN: 9780387966717

ISBN - Autres types d'écriture:
0-387-96671-4, 978-0-387-96671-7


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