| 书目名称 | p-adic Numbers, p-adic Analysis, and Zeta-Functions | | 编辑 | Neal Koblitz | | 视频video | | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | These lecture notes are intended as an introduction to p-adic analysis on the elementary level. For this reason they presuppose as little background as possi ble. Besides about three semesters of calculus, I presume some slight exposure to more abstract mathematics, to the extent that the student won‘t have an adverse reaction to matrices with entries in a field other than the real numbers, field extensions of the rational numbers, or the notion of a continuous map of topolog ical spaces. The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field. The first of these applications is presented in Chapter II, since it only requires the most elementary properties of Q ; this is Mazur‘s construction by p means of p-adic integration of the Kubota-Leopoldtp-adic zeta-function, which "p-adically interpolates" the values of the Riemann zeta-function at the negative odd integers. My treatment is based on Mazur‘s Bourbaki notes (unpublished). | | 出版日期 | Textbook 19771st edition | | 关键词 | Analysis; Calc; Functions; Numbers; Zetafunktion; algebra; calculus; construction; field; function; integratio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-0047-2 | | isbn_ebook | 978-1-4684-0047-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag, New York Inc. 1977 |
The information of publication is updating
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions影响因子(影响力)
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions影响因子(影响力)学科排名
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions网络公开度
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions网络公开度学科排名
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions被引频次
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions被引频次学科排名
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions年度引用
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions年度引用学科排名
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions读者反馈
书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions读者反馈学科排名
|
|
|
发表于 2025-3-21 19:06:06
