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Introduction to Cyclotomic Fields (Graduate Texts in Mathematics)
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Product Description
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.
Product Details
- Amazon Sales Rank: #133280 in Books
- Published on: 1997-01-01
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 487 pages
