| 書(shū)目名稱(chēng) | On Some Applications of Diophantine Approximations |
| 副標(biāo)題 | A translation of C.L |
| 編輯 | Umberto Zannier |
| 視頻video | http://file.papertrans.cn/702/701075/701075.mp4 |
| 概述 | Presents for the first time in English a landmark paper by Siegel which introduced most important ideas in the realm of Diophantine approximation and its applications.Presents the ideas of Siegel in o |
| 叢書(shū)名稱(chēng) | Publications of the Scuola Normale Superiore |
| 圖書(shū)封面 |  |
| 描述 | This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one.?This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel’s paper. To end, it presents three modern proofs of Siegel’s theorem on integral points. |
| 出版日期 | Book 2014 |
| 關(guān)鍵詞 | Siegel‘s theorem; diophantine analysis; transcendence theory |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-88-7642-520-2 |
| isbn_softcover | 978-88-7642-519-6 |
| isbn_ebook | 978-88-7642-520-2Series ISSN 2239-1460 Series E-ISSN 2532-1668 |
| issn_series | 2239-1460 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
|Archiver|手機(jī)版|小黑屋|
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