书目名称 | Diophantine Approximation | 副标题 | Lectures given at th | 编辑 | David Masser,Yuri V. Nesterenko,Michel Waldschmidt | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty | 出版日期 | Book 2003 | 关键词 | Diophantine approximation; Linear Forms in Logarithms; Number Theory; algebra; equation; proof | 版次 | 1 | doi | https://doi.org/10.1007/3-540-44979-5 | isbn_softcover | 978-3-540-40392-0 | isbn_ebook | 978-3-540-44979-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2003 |
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