株式会社極東書店トップ ＞ 商品一覧 ＞ The Large Sieve and its Applications : Arithmetic Geometry, Random Walks and Discrete Groups.
商品詳細
The Large Sieve and its Applications : Arithmetic Geometry, Random Walks and Discrete Groups.
・ISBN 978-0-521-88851-6 hard GB£ 121.00
￥38,332.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54294-7
| 著者・編者 | Kowalski, E., |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2008 |
| ページ数 | 316 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8252＞ |
解説
Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.