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Cyclotomic Fields II

Cyclotomic Fields II
Catalogue Information
Field name Details
Dewey Class 512.7
Title Cyclotomic Fields II ([EBook]) / by Serge Lang.
Author Lang, Serge. , 1927-2005
Other name(s) SpringerLink (Online service)
Publication New York, NY : Springer , 1980.
Physical Details : online resource.
Series Graduate texts in mathematics 0072-5285 ; ; 69
ISBN 9781468400861
Contents note Volume II -- 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 -- 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(l, 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 -- 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-1-4684-0086-1
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