Mendeley出力
＜図書＞
Algorithms for modular elliptic curves
| 責任表示 | J.E. Cremona |
|---|---|
| データ種別 | 図書 |
| 版 | 2nd ed |
| 出版情報 | Cambridge ; New York : Cambridge University Press , 1997 |
| 本文言語 | 英語 |
| 大きさ | 376 p. : tables ; 30 cm |
| 概要 | Elliptic curves are of central and growing importance in computational number theory, with numerous applications in such areas as cryptography, primality testing and factorisation. This book, now in i...s second edition, presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves, with remarks on computer implementation. It is in three parts. First, the author describes in detail the construction of modular elliptic curves, giving an explicit algorithm for their computation using modular symbols. Secondly a collection of algorithms for the arithmetic of elliptic curves is presented; some of these have not appeared in book form before. They include: finding torsion and non-torsion points, computing heights, finding isogenies and periods, and computing the rank. Finally, an extensive set of tables is provided giving the results of the author's implementation of the algorithms. These tables extend the widely used 'Antwerp IV tables' in two ways: the range of conductors (up to 1000), and the level of detail given for each curve. In particular, the quantities relating to the Birch Swinnerton-Dyer conjecture have been computed in each case and are included. All researchers and graduate students of number theory will find this book useful, particularly those interested in the computational side of the subject. That aspect will make it appeal also to computer scientists and coding theorists. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
|
|
pbk. | 理系図3F 数理独自 | CREM/10/1a | 1997 |
|
023211997007136 |
|
書誌詳細
| 一般注記 | Includes bibliography (p. 374-376) |
|---|---|
| 著者標目 | *Cremona, J. E. |
| 件 名 | LCSH:Curves, Elliptic -- Tables
全ての件名で検索
LCSH:Curves, Elliptic -- Data processing 全ての件名で検索 LCSH:Curves, Modular -- Tables 全ての件名で検索 LCSH:Curves, Modular -- Data processing 全ての件名で検索 |
| 分 類 | LCC:QA567.2.E44 DC21:516.3/52 |
| 書誌ID | 1001402485 |
| ISBN | 0521598206 |
| NCID | BA30823253 |
| 巻冊次 | : pbk ; ISBN:0521598206 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |