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Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) Book
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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 ยต-invariant.
- 0387947620
- 9780387947624
- Lawrence C. Washington
- 1 January 1997
- Springer
- Hardcover (Book)
- 487
- 2nd ed.
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