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商品詳細
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116.
・ISBN 978-0-691-08433-6 paper US$ 115.00
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| 著者・編者 | Katz, Nicholas M., |
|---|---|
| シリーズ | Annals of Mathematics Studies |
| 出版社 | (Princeton University Press, US) |
| 出版年月 | 1988 |
| ページ数 | 256 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-11834＞ |
解説
The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.