| 书目名称 | Cyclotomic Fields and Zeta Values |
| 编辑 | J. Coates,R. Sujatha |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | .Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures‘‘ in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields. These main conjectures are concerned with what one might loosely call the exact formulae of number theory which conjecturally link the special values of zeta and L-functions to purely arithmetic expressions...Written by two leading workers in the field, this short and elegant book presents in full detail the simplest proof of the "main conjecture‘‘ for cyclotomic fields. Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. The masterly exposition is intended to be accessible to both graduatestudents and non-experts in Iwasawa theory... |
| 出版日期 | Book 2006 |
| 关键词 | Arithmetic; Iwasawa theory; Lie; algebra; cyclotomic fields; function; geometry; main conjecture; number the |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-33069-1 |
| isbn_softcover | 978-3-642-06959-8 |
| isbn_ebook | 978-3-540-33069-1Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2006 |
发表于 2025-3-21 18:35:40
