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## Graduate Texts in Mathematics: Introduction to Cyclotomic Fields, Second Edition (Hardback)" ## $57.95 |

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Please contact us if you've got questions about this product.## Condition

**LIKE NEW:** This book is in excellent, like-new condition. It is printed on acid-free paper.

## Description

This is Volume 83 in Springer’s Graduate Texts in Mathematics series.

From the back cover: “Starting at an elementary level, the volume covers *p*-adic *L*-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s theory of **Z _{p}**-extensions, leading the reader to an understanding of modern research literature. Many exercises are included.

“The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott’s proof of the vanishing of Iwasawa’s **μ**-invariant.”

**BRIEF CONTENTS**

- Preface to the Second Edition
- Preface to the First Edition
- Chapter 1. Fermat’s Last Theorem
- Chapter 2. Basic Results
- Chapter 3. Dirichlet Characters
- Chapter 4. Dirichlet
*L*-series and Class Number Formulas - Chapter 5.
*p*-adic*L*-functions and Bernoulli Numbers - Chapter 6. Stickelberger’s Theorem
- Chapter 7. Iwasawa’s Construction of
*p*-adic*L*-functions - Chapter 8. Cyclotomic Units
- Chapter 9. The Second Case of Fermat’s Last Theorem
- Chapter 10. Galois Groups Acting on Ideal Class Groups
- Chapter 11. Cyclotomic Fields of Class Number One
- Chapter 12. Measures and Distributions
- Chapter 13. Iwasawa’s Theory of
**Z**-extensions_{p} - Chapter 14. The Kronecker-Weber Theorem
- Chapter 15. The Main Conjecture and Annihilation of Class Groups
- Chapter 16. Miscellany
- Appendix
- Tables
- Bibliography
- List of Symbols
- Index

## Details

- SKU:
- 1962
- Subject:
- Mathematics
- Author:
- Washington, Lawrence C.
- Publisher:
- Springer-Verlag
- Publish Date:
- 1997
- Format:
- Hardback
- Weight (pounds):
- 1.96
- Dimensions (W”xL”xH”):
- 6.4″x9.45″x1.25″
- ISBN-13:
- 9780387947624
- ISBN-10:
- 0387947620
- Grade Level:
- Graduate
- Series:
- Springer Graduate Texts in Mathematics

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