书目名称 | Diophantine Analysis |
副标题 | Course Notes from a |
编辑 | Jörn Steuding |
视频video | |
概述 | Present four different (nevertheless related) topics in Diophantine Analysis.Each part serves as a self-contained introduction to the topic.Each part present central results, relevant applications and |
丛书名称 | Trends in Mathematics |
图书封面 |  |
描述 | .This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.. |
出版日期 | Textbook 2016 |
关键词 | Diophantine Analysis; Analytic Number Theory; Diophantine Approximation,; Transcendence Theory; Linear F |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-48817-2 |
isbn_softcover | 978-3-319-84020-8 |
isbn_ebook | 978-3-319-48817-2Series ISSN 2297-0215 Series E-ISSN 2297-024X |
issn_series | 2297-0215 |
copyright | Springer International Publishing AG 2016 |