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.
| ISBN: | 9780387947624 |
| Publication date: | 5th December 1996 |
| Author: | Lawrence C Washington |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Hardback |
| Pagination: | 487 pages |
| Series: | Graduate Texts in Mathematics |
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.
Paperback, Hardback. Not Available.
Introduction to Cyclotomic Fields was written by Lawrence C Washington and published by Springer an imprint of Springer New York
Introduction to Cyclotomic Fields has 487 pages
Yes it is part of Graduate Texts in Mathematics series