| 書目名稱 | Cyclotomic Fields I and II | | 編輯 | Serge Lang | | 視頻video | http://file.papertrans.cn/243/242572/242572.mp4 | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | Kummer‘s work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. For a long period in the 20th century this aspect of Kummer‘s work seems to have been largely forgotten, except for a few papers, among which are those by Pollaczek [Po], Artin-Hasse [A-H] and Vandiver [Va]. In the mid 1950‘s, the theory of cyclotomic fields was taken up again by Iwasawa and Leopoldt. Iwasawa viewed cyclotomic fields as being analogues for number fields of the constant field extensions of algebraic geometry, and wrote a great sequence of papers investigating towers of cyclotomic fields, and more generally, Galois extensions of number fields whose Galois group is isomorphic to the additive group of p-adic integers. Leopoldt concentrated on a fixed cyclotomic field, and established various p-adic analogues of the classical complex analytic class number formulas. In particular, this led him to introduce, with Kubota, p-adic analogues of the | | 出版日期 | Textbook 1990Latest edition | | 關(guān)鍵詞 | Cohomology; Prime; algebra; finite field; homomorphism; number theory | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4612-0987-4 | | isbn_softcover | 978-1-4612-6972-4 | | isbn_ebook | 978-1-4612-0987-4Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1990 |
The information of publication is updating
|
|
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-11 06:00
發(fā)表于 2025-3-21 19:18:37
