Introduction to Cyclotomic Fields
Lawrence C. Washington · 1997
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About the book
Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. 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 f-invariant.
Book details
- Year
- 1997
- Language
- English
- Series
- Graduate Texts in Mathematics, 0072-5285 -- 83
- Publisher
- Springer New York
- Editions
- 4
- Pages
- 487
- ISBN
- 9781461219347
Data source: Wikidata
