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Introduction to Cyclotomic Fields
- Editore:
Springer New York
- Collana:
- Graduate Texts In Mathematics
- EAN:
9780387947624
- ISBN:
0387947620
- Pagine:
- 508
- Formato:
- Hardback
- Lingua:
- Inglese
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Descrizione Introduction to Cyclotomic Fields
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.
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