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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.
| Autorius: | Lawrence C. Washington |
| Serija: | Graduate Texts in Mathematics |
| Leidėjas: | Springer US |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 508 |
| ISBN-10: | 1461273463 |
| ISBN-13: | 9781461273462 |
| Formatas: | 235 x 155 x 28 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
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