Edición de la obra Introduction to Cyclotomic Fields
| Autor | Lawrence C. Washington |
|---|---|
| Editorial | Springer New York, Imprint, Springer |
| Fecha de publicación | 1997 |
| Lugar | New York, NY |
| Idioma | inglés |
| Páginas | 487 |
| Formato | [electronic resource] / |
| ISBN-13 | 9781461219347 |
| ISBN-10 | 1461219345 |
| OCLC | 840278266 |
| Serie | Graduate Texts in Mathematics, 0072-5285 -- 83 · Graduate texts in mathematics -- 83. |
| Número de Cutter | W318i |
|---|
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.