p-adic Numbers, p-adic Analysis, and Zeta-Functions / by NEAL Koblitz
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 1977. |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1977 |
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| 書誌ID | OB01019547 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | I p-adic numbers -- 1. Basic concepts -- 2. Metrics on the rational numbers -- 3. Review of building up the complex numbers -- 4. The field of p-adie numbers -- 5. Arithmetic in. License restrictions may limit access Summary: 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 My treatment is based on Mazur's Bourbaki notes (unpublished) |
| 著者標目 | *Koblitz, NEAL SpringerLink (Online service) |
| 統一書名標目 | Graduate Texts in Mathematics, |
| 件 名 | LCSH:Algebra FREE:Algebra |
| 分 類 | LCC:QA150-272 DC23:512 |
| 巻冊次 | ISBN:9781468400472 RefWorks出力（各巻） print ; ISBN:9781468400496 RefWorks出力（各巻） print ; ISBN:9780387902746 RefWorks出力（各巻） print ; ISBN:9781468400489 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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