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Softcover - 9781461273462
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Beschreibung
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.
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.
Details
| Verlag | Springer US |
| Ersterscheinung | 05. Dezember 1996 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 922 Gramm |
| Format | Hardcover |
| ISBN-13 | 9780387947624 |
| Auflage | Second Edition 1997 |
| Seiten | 490 |
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