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LANG, S:

Cyclotomic fields - First edition

1978, ISBN: 9780387903071

Paperback, Hardcover

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… More...

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Cyclotomic Fields by S. Lang - S. Lang
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S. Lang:

Cyclotomic Fields by S. Lang - used book

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… More...

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LANG, S:
Cyclotomic fields - Paperback

1978

ISBN: 9780387903071

Hardcover

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… More...

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LANG, S:
Cyclotomic fields - Paperback

1978, ISBN: 9780387903071

Hardcover

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… More...

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Serge Lang:
Cyclotomic Fields - hardcover

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., … More...

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Details of the book

Details of the book - Cyclotomic Fields (Graduate Texts in Mathematics, 59, Band 59)


EAN (ISBN-13): 9780387903071
ISBN (ISBN-10): 0387903070
Hardcover
Paperback
Publishing year: 1978
Publisher: Springer

Book in our database since 2007-05-26T11:43:02-04:00 (New York)
Detail page last modified on 2024-03-23T18:23:18-04:00 (New York)
ISBN/EAN: 9780387903071

ISBN - alternate spelling:
0-387-90307-0, 978-0-387-90307-1
Alternate spelling and related search-keywords:
Book author: serge lang
Book title: fields, cyclotomic, field, grad, graduate texts mathematics, graduate text mathematics, lang lang


Information from Publisher

Author: S. Lang
Title: Graduate Texts in Mathematics; Cyclotomic Fields
Publisher: Springer; Springer US
253 Pages
Publishing year: 1978-08-08
New York; NY; US
Weight: 0,625 kg
Language: English
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.

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