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Character Sums with Exponential Functions and their Applications.
・ISBN 978-0-521-64263-7 hard GB£ 121.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54293-0
| 著者・編者 | Konyagin, Sergei / Shparlinski, Igor, |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1999 |
| ページ数 | 172 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10766＞ |
解説
The theme of this book is the study of the distribution of integer powers modulo a prime number. It provides numerous new, sometimes quite unexpected, links between number theory and computer science as well as to other areas of mathematics. Possible applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory. The main method discussed is based on bounds of exponential sums. Accordingly, the book contains many estimates of such sums, including new estimates of classical Gaussian sums. It also contains many open questions and proposals for further research.