Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorLang, Serge. author
TitleCyclotomic Fields II [electronic resource] / by Serge Lang
ImprintNew York, NY : Springer US, 1980
Connect tohttp://dx.doi.org/10.1007/978-1-4684-0086-1
Descript online resource

CONTENT

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: Washingtonโ{128}{153}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


Mathematics Number theory Mathematics Number Theory



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram