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商品詳細
The Riemann Hypothesis in Characteristic p in Historical Perspective. 1st ed. 2018.
・ISBN 978-3-319-99066-8 paper EUR 54.99
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| 著者・編者 | Roquette, Peter, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 235 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-354＞ |
解説
This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Goettingen. The aim is to show how the ideas formed, and how the proper notions and proofs were found, providing a particularly well-documented illustration of how mathematics develops in general. The book is written for mathematicians, but it does not require any special knowledge of particular mathematical fields.