- 5 Résultats
prix le plus bas: € 76,95, prix le plus élevé: € 102,45, prix moyen: € 87,39
1
Cyclotomic Fields I and II / Serge Lang / Buch / Graduate Texts in Mathematics / HC runder Rücken kaschiert / xvii / Englisch / 1989 / Springer US / EAN 9780387966717 - Lang, Serge
Commander
sur booklooker.de
€ 84,59
CommanderLien sponsorisé
Lang, Serge:

Cyclotomic Fields I and II / Serge Lang / Buch / Graduate Texts in Mathematics / HC runder Rücken kaschiert / xvii / Englisch / 1989 / Springer US / EAN 9780387966717 - edition reliée, livre de poche

1989, ISBN: 9780387966717

[ED: Gebunden], [PU: Springer US], Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, … Plus…

Frais d'envoiZzgl. Versandkosten., Livraison non-comprise Buchbär
2
Cyclotomic Fields I and II | Serge Lang | Buch | Graduate Texts in Mathematics | HC runder Rücken kaschiert | xvii | Englisch | 1989 | Springer US | EAN 9780387966717 - Lang, Serge
Commander
sur booklooker.de
€ 80,90
CommanderLien sponsorisé

Lang, Serge:

Cyclotomic Fields I and II | Serge Lang | Buch | Graduate Texts in Mathematics | HC runder Rücken kaschiert | xvii | Englisch | 1989 | Springer US | EAN 9780387966717 - edition reliée, livre de poche

1989, ISBN: 9780387966717

[ED: Gebunden], [PU: Springer US], Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, … Plus…

Frais d'envoiZzgl. Versandkosten., Livraison non-comprise preigu
3
Cyclotomic Fields I and II (Graduate Texts in Mathematics, 121, Band 121) - Lang, Serge
Commander
sur amazon.de
€ 102,45
Envoi: € 3,001
CommanderLien sponsorisé
Lang, Serge:
Cyclotomic Fields I and II (Graduate Texts in Mathematics, 121, Band 121) - edition reliée, livre de poche

1989

ISBN: 9780387966717

Assistent: Rubin, Karl, Springer, Gebundene Ausgabe, Auflage: 2nd ed. 1990, 453 Seiten, Publiziert: 1989-12-18T00:00:01Z, Produktgruppe: Buch, 3.99 kg, Verkaufsrang: 2828167, Algebra & Za… Plus…

Frais d'envoiAuf Lager. Die angegebenen Versandkosten können von den tatsächlichen Kosten abweichen. (EUR 3.00) Ammareal - Professional
4
Cyclotomic Fields I and II - Serge Lang
Commander
sur booklooker.de
€ 76,95
CommanderLien sponsorisé
Serge Lang:
Cyclotomic Fields I and II - edition reliée, livre de poche

1989, ISBN: 9780387966717

[ED: Gebunden], [PU: Springer New York], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Kummer s work on cyclotomic fields paved the way … Plus…

Frais d'envoiZzgl. Versandkosten., Livraison non-comprise Moluna GmbH
5
Cyclotomic Fields I and II - Lang, Serge
Commander
sur Achtung-Buecher.de
€ 92,07
Envoi: € 0,001
CommanderLien sponsorisé
Lang, Serge:
Cyclotomic Fields I and II - edition reliée, livre de poche

1989, ISBN: 0387966714

2nd ed. 1990 Gebundene Ausgabe Zahlentheorie, Prime; Algebra; finitefield; homomorphism; numbertheory; cohomology, mit Schutzumschlag 11, [PU:Springer New York; Springer US]

Frais d'envoiVersandkostenfrei innerhalb der BRD. (EUR 0.00) MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien

1Comme certaines plateformes ne transmettent pas les conditions d'expédition et que celles-ci peuvent dépendre du pays de livraison, du prix d'achat, du poids et de la taille de l'article, d'une éventuelle adhésion de la plateforme, d'une livraison directe par la plateforme ou via un prestataire tiers (Marketplace), etc. il est possible que les frais de livraison indiqués par eurolivre ne correspondent pas à ceux de la plateforme qui propose l'article.

Données bibliographiques du meilleur livre correspondant

Détails sur le livre
Cyclotomic Fields I and II (Graduate Texts in Mathematics, 121, Band 121)

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 (Graduate Texts in Mathematics, 121, Band 121)


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

Livre dans la base de données depuis 2007-05-28T14:44:13+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-02-04T15:33:54+01:00 (Paris)
ISBN/EAN: 0387966714

ISBN - Autres types d'écriture:
0-387-96671-4, 978-0-387-96671-7
Autres types d'écriture et termes associés:
Auteur du livre: karl lang, serge lang
Titre du livre: graduate texts mathematics, the fields, cyclotomic fields and


Données de l'éditeur

Auteur: Serge Lang
Titre: Graduate Texts in Mathematics; Cyclotomic Fields I and II
Editeur: Springer; Springer US
436 Pages
Date de parution: 1989-12-18
New York; NY; US
Poids: 1,810 kg
Langue: Anglais
90,94 € (DE)
93,49 € (AT)
100,50 CHF (CH)
POD
XVII, 436 p.

BB; Number Theory; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Zahlentheorie; Verstehen; Cohomology; Prime; algebra; finite field; homomorphism; number theory; Number Theory; BB; BC; EA

1 Character Sums.- 1. Character Sums over Finite Fields.- 2. Stickelberger’s Theorem.- 3. Relations in the Ideal Classes.- 4. Jacobi Sums as Hecke Characters.- 5. Gauss Sums over Extension Fields.- 6. Application to the Fermat Curve.- 2 Stickelberger Ideals and Bernoulli Distributions.- 1. The Index of the First Stickelberger Ideal.- 2. Bernoulli Numbers.- 3. Integral Stickelberger Ideals.- 4. General Comments on Indices.- 5. The Index for k Even.- 6. The Index for k Odd.- 7. Twistings and Stickelberger Ideals.- 8. Stickelberger Elements as Distributions.- 9. Universal Distributions.- 10. The Davenport-Hasse Distribution.- Appendix. Distributions.- 3 Complex Analytic Class Number Formulas.- 1. Gauss Sums on Z/mZ.- 2. Primitive L-series.- 3. Decomposition of L-series.- 4. The (± 1)-eigenspaces.- 5. Cyclotomic Units.- 6. The Dedekind Determinant.- 7. Bounds for Class Numbers.- 4 The p-adic L-function.- 1. Measures and Power Series.- 2. Operations on Measures and Power Series.- 3. The Mellin Transform and p-adic L-function.- Appendix. The p-adic Logarithm.- 4. The p-adic Regulator.- 5. The Formal Leopoldt Transform.- 6. The p-adic Leopoldt Transform.- 5 Iwasawa Theory and Ideal Class Groups.- 1. The Iwasawa Algebra.- 2. Weierstrass Preparation Theorem.- 3. Modules over ZP[[X]].- 4. Zp-extensions and Ideal Class Groups.- 5. The Maximal p-abelian p-ramified Extension.- 6. The Galois Group as Module over the Iwasawa Algebra.- 6 Kummer Theory over Cyclotomic Zp-extensions.- 1. The Cyclotomic Zp-extension.- 2. The Maximal p-abelian p-ramified Extension of the Cyclotomic Zp-extension.- 3. Cyclotomic Units as a Universal Distribution.- 4. The Iwasawa-Leopoldt Theorem and the Kummer-Vandiver Conjecture.- 7 Iwasawa Theory of Local Units.- 1. The Kummer-Takagi Exponents.- 2. Projective Limit of the Unit Groups.- 3. A Basis for U(x) over A.- 4. The Coates-Wiles Homomorphism.- 5. The Closure of the Cyclotomic Units.- 8 Lubin-Tate Theory.- 1. Lubin-Tate Groups.- 2. Formal p-adic Multiplication.- 3. Changing the Prime.- 4. The Reciprocity Law.- 5. The Kummer Pairing.- 6. The Logarithm.- 7. Application of the Logarithm to the Local Symbol.- 9 Explicit Reciprocity Laws.- 1. Statement of the Reciprocity Laws.- 2. The Logarithmic Derivative.- 3. A Local Pairing with the Logarithmic Derivative.- 4. The Main Lemma for Highly Divisible x and ? = xn.- 5. The Main Theorem for the Symbol ?x, xn?n.- 6. The Main Theorem for Divisible x and ? = unit.- 7. End of the Proof of the Main Theorems.- 10 Measures and Iwasawa Power Series.- 1. Iwasawa Invariants for Measures.- 2. Application to the Bernoulli Distributions.- 3. Class Numbers as Products of Bernoulli Numbers.- Appendix by L. Washington: Probabilities.- 4. Divisibility by l Prime to p: Washington’s Theorem.- 11 The Ferrero-Washington Theorems.- 1. Basic Lemma and Applications.- 2. Equidistribution and Normal Families.- 3. An Approximation Lemma.- 4. Proof of the Basic Lemma.- 12 Measures in the Composite Case.- 1. Measures and Power Series in the Composite Case.- 2. The Associated Analytic Function on the Formal Multiplicative Group.- 3. Computation of Lp(1, x) in the Composite Case.- 13 Divisibility of Ideal Class Numbers.- 1. Iwasawa Invariants in Zp-extensions.- 2. CM Fields, Real Subfields, and Rank Inequalities.- 3. The l-primary Part in an Extension of Degree Prime to l.- 4. A Relation between Certain Invariants in a Cyclic Extension.- 5. Examples of Iwasawa.- 6. A Lemma of Kummer.- 14 P-adic Preliminaries.- 1. The p-adic Gamma Function.- 2. The Artin-Hasse Power Series.- 3. Analytic Representation of Roots of Unity.- Appendix: Barsky’s Existence Proof for the p-adic Gamma Function.- 15 The Gamma Function and Gauss Sums.- 1. The Basic Spaces.- 2. The Frobenius Endomorphism.- 3. The Dwork Trace Formula and Gauss Sums.- 4. Eigenvalues of the Frobenius Endomorphism and the p-adic Gamma Function.- 5. p-adic Banach Spaces.- 16 Gauss Sums and the Artin-Schreier Curve.- 1. Power Series with Growth Conditions.- 2. The Artin-Schreier Equation.- 3. Washnitzer-Monsky Cohomology.- 4. The Frobenius Endomorphism.- 17 Gauss Sums as Distributions.- 1. The Universal Distribution.- 2. The Gauss Sums as Universal Distributions.- 3. The L-function at s = 0.- 4. The p-adic Partial Zeta Function.- Appendix by Karl Rubin.- The Main Conjecture.- 1. Setting and Notation.- 2. Properties of Kolyvagin’s “Euler System”.- 3. An Application of the Chebotarev Theorem.- 5. The Main Conjecture.- 6. Tools from Iwasawa Theory.- 7. Proof of Theorem 5.1.- 8. Other Formulations and Consequences of the Main Conjecture.

Autres livres qui pourraient ressembler au livre recherché:

Dernier livre similaire:
9783540903079 Cyclotomic fields. Vol. 1. (=Graduate texts in mathematics ; 59). (Lang, Serge)


< pour archiver...