Author(s): Serge A. Lang
Series: Graduate texts in mathematics 069
Publisher: Springer
Year: 1980
Language: English
Pages: 175
Contents......Page all_9377_to_00174.cpc0003.djvu
10 Measures and Iwasawa Power Series......Page all_9377_to_00174.cpc0011.djvu
1. Iwasawa Invariants for Measures......Page all_9377_to_00174.cpc0012.djvu
2. Application to the Bernoulli Distributions......Page all_9377_to_00174.cpc0018.djvu
3. Class Numbers as Products of Bernoulli Numbers......Page all_9377_to_00174.cpc0025.djvu
Appendix by L. Washington: Probabilities......Page all_9377_to_00174.cpc0028.djvu
4. Divisibility by / Prime to p: Washington's Theorem......Page all_9377_to_00174.cpc0032.djvu
1. Basic Lemma and Applications......Page all_9377_to_00174.cpc0036.djvu
2. Equidistribution and Normal Families......Page all_9377_to_00174.cpc0039.djvu
3. An Approximation Lemma......Page all_9377_to_00174.cpc0043.djvu
4. Proof of the Basic Lemma......Page all_9377_to_00174.cpc0044.djvu
1. Measures and Power Series in the Composite Case......Page all_9377_to_00174.cpc0047.djvu
2. The Associated Analytic Function on the Formal Multiplicative Group......Page all_9377_to_00174.cpc0053.djvu
3. Computation of L_p(1, \chi) in the Composite Case......Page all_9377_to_00174.cpc0058.djvu
2. CM Fields, Real Subfields, and Rank Inequalities......Page all_9377_to_00174.cpc0062.djvu
3. The l-primary Part in an Extension of Degree Prime to l......Page all_9377_to_00174.cpc0071.djvu
4. A Relation between Certain Invariants in a Cyclic Extension......Page all_9377_to_00174.cpc0073.djvu
5. Examples of Iwasawa......Page all_9377_to_00174.cpc0077.djvu
6. A Lemma of Kummer......Page all_9377_to_00174.cpc0079.djvu
1. The p-adic Gamma Function......Page all_9377_to_00174.cpc0081.djvu
2. The Artin-Hasse Power Series......Page all_9377_to_00174.cpc0086.djvu
3. Analytic Representation of Roots of Unity......Page all_9377_to_00174.cpc0090.djvu
Appendix: Barsky's Existence Proof for the p-adic Gamma Function......Page all_9377_to_00174.cpc0092.djvu
15 The Gamma Function and Gauss Sums......Page all_9377_to_00174.cpc0096.djvu
1. The Basic Spaces......Page all_9377_to_00174.cpc0097.djvu
2. The Frobenius Endomorphism......Page all_9377_to_00174.cpc0103.djvu
3. The Dwork Trace Formula and Gauss Sums......Page all_9377_to_00174.cpc0108.djvu
4. Eigenvalues of the Frobenius Endomorphism and the p-adic Gamma Function......Page all_9377_to_00174.cpc0110.djvu
5. p-adic Banach Spaces......Page all_9377_to_00174.cpc0115.djvu
1. Power Series with Growth Conditions......Page all_9377_to_00174.cpc0127.djvu
2. The Artin-Schreier Equation......Page all_9377_to_00174.cpc0136.djvu
3. Washnitzer-Monsky Cohomology......Page all_9377_to_00174.cpc0141.djvu
4. The Frobenius Endomorphism......Page all_9377_to_00174.cpc0145.djvu
1. The Universal Distribution......Page all_9377_to_00174.cpc0148.djvu
2. The Gauss Sums as Universal Distributions......Page all_9377_to_00174.cpc0152.djvu
3. The L-function at s=0......Page all_9377_to_00174.cpc0156.djvu
4. The p-adic Partial Zeta Function......Page all_9377_to_00174.cpc0158.djvu
Bibliography......Page all_9377_to_00174.cpc0164.djvu
Index......Page all_9377_to_00174.cpc0172.djvu
