1978, ISBN: 9780387903071
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Griffin, 1979. 1st Edition . Hardcover. Very Good/Very Good. 5.5" X 8.75. H/B 158 pages, condition is Very Good, minor edge wear to the DJ. Animal diseases must be studied under fi… Plus…
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ISBN: 9780387903071
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 succ… Plus…
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1978, ISBN: 9780387903071
Edition reliée
New York: Dover Publications, 2004. English Text. New York, 2004; paperback, pp. 0, 48 col. ill., 35 b/w plates, cm 17x24. This graduate-level text examines the practical use of iterati… Plus…
ita, nld | Biblio.co.uk |
1978, ISBN: 9780387903071
Edition reliée
New York: Dover Publications, 2004. English Text. New York, 2004; paperback, 48 col. ill., 35 b/w plates, cm 17x24. This graduate-level text examines the practical use of iterative meth… Plus…
ita, nld | Biblio.co.uk |
1978, ISBN: 9780387903071
New York: Springer, 1978. First printing. Hardcover. Near Fine. First Printing. c.1978. Hardcover. 8vo. 253pp. Near Fine. Mild soiling to cloth, previous owner's signature on flyleaf., … Plus…
Biblio.co.uk |
1978, ISBN: 9780387903071
Livres de poche, Edition reliée
Griffin, 1979. 1st Edition . Hardcover. Very Good/Very Good. 5.5" X 8.75. H/B 158 pages, condition is Very Good, minor edge wear to the DJ. Animal diseases must be studied under fi… Plus…
ISBN: 9780387903071
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 succ… Plus…
1978
ISBN: 9780387903071
Edition reliée
New York: Dover Publications, 2004. English Text. New York, 2004; paperback, pp. 0, 48 col. ill., 35 b/w plates, cm 17x24. This graduate-level text examines the practical use of iterati… Plus…
1978, ISBN: 9780387903071
Edition reliée
New York: Dover Publications, 2004. English Text. New York, 2004; paperback, 48 col. ill., 35 b/w plates, cm 17x24. This graduate-level text examines the practical use of iterative meth… Plus…
1978, ISBN: 9780387903071
New York: Springer, 1978. First printing. Hardcover. Near Fine. First Printing. c.1978. Hardcover. 8vo. 253pp. Near Fine. Mild soiling to cloth, previous owner's signature on flyleaf., … Plus…
Données bibliographiques du meilleur livre correspondant
Informations détaillées sur le livre - Cyclotomic Fields (Graduate Texts in Mathematics, 59, Band 59)
EAN (ISBN-13): 9780387903071
ISBN (ISBN-10): 0387903070
Version reliée
Livre de poche
Date de parution: 1978
Editeur: Springer
Livre dans la base de données depuis 2007-05-26T17:43:02+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-23T23:23:18+01:00 (Paris)
ISBN/EAN: 9780387903071
ISBN - Autres types d'écriture:
0-387-90307-0, 978-0-387-90307-1
Autres types d'écriture et termes associés:
Auteur du livre: serge lang
Titre du livre: fields, cyclotomic, field, grad, graduate texts mathematics, graduate text mathematics, lang lang
Données de l'éditeur
Auteur: S. Lang
Titre: Graduate Texts in Mathematics; Cyclotomic Fields
Editeur: Springer; Springer US
253 Pages
Date de parution: 1978-08-08
New York; NY; US
Poids: 0,625 kg
Langue: Anglais
85,55 € (DE)
87,95 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP
BB; Book; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Zahlentheorie; Verstehen; Fields; algebra; Prime; number theory; Kreiskörper; finite field; homomorphism; B; Number Theory; Mathematics and Statistics; 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.- 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.- 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 Leopoldt-Iwasawa Theorem and the 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(?) 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.Autres livres qui pourraient ressembler au livre recherché:
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9781468400878 Cyclotomic Fields II (Lang, S.)
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