| 书目名称 | Lecture Notes on Diophantine Analysis |
| 编辑 | Umberto Zannier |
| 视频video | |
| 概述 | Treats classical diophantine equations but also modern Diophantine issues.Uses ‘concrete’ methods but also offers modern abstract interpretations.Contains a large number of Supplements and hinted exer |
| 丛书名称 | Publications of the Scuola Normale Superiore |
| 图书封面 |  |
| 描述 | These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue‘s celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights. |
| 出版日期 | Textbook 2014 |
| 关键词 | Bell equation; Thue‘s theorem; diophantine analysis; heights; unit equation |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-88-7642-517-2 |
| isbn_softcover | 978-88-7642-341-3 |
| isbn_ebook | 978-88-7642-517-2Series ISSN 2239-1460 Series E-ISSN 2532-1668 |
| issn_series | 2239-1460 |
| copyright | Edizioni della Normale 2014 |
发表于 2025-3-21 17:18:00
