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Titlebook: Diophantine Approximation; Lectures given at th David Masser,Yuri V. Nesterenko,Michel Waldschmidt Book 2003 Springer-Verlag Berlin Heidelb

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发表于 2025-3-21 18:38:38 | 显示全部楼层 |阅读模式
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Titlebook: Diophantine Approximation; Lectures given at th David Masser,Yuri V. Nesterenko,Michel Waldschmidt Book 2003 Springer-Verlag Berlin Heidelb
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
doihttps://doi.org/10.1007/3-540-44979-5
isbn_softcover978-3-540-40392-0
isbn_ebook978-3-540-44979-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2003
The information of publication is updating

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发表于 2025-3-21 21:34:03 | 显示全部楼层
Zeynep Elburz,Karima Kourtit,Peter Nijkampetween avoiding certain technical details (which would have made the notes by far too long and which rather would have hidden the basic ideas) and giving a presentation which is accessible for nonspecialists without simply waving hands.
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Book 2003 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
发表于 2025-3-22 22:01:37 | 显示全部楼层
0075-8434 is 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;forty978-3-540-40392-0978-3-540-44979-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Linear Forms in Logarithms of Rational Numbers,als in the construction of the auxiliary function, and due to this the dependence of the bounds on the coefficients of the linear forms was improved. The Kummer theory was used by A. Baker and H. Stark, [.], to improve the dependence of the estimates on the parameters related to the algebraic number
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