Introduction to Diophantine Approximations
Introduction to Diophantine Approximations
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DOI：
10.1007/978-1-4612-4220-8
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发表时间：
1995-06
期刊：
影响因子：
--
通讯作者：
S. Lang
中科院分区：
文献类型：
--
作者：
S. Lang
这本书的目的是说明由显着的特殊例子的三个方面的理论丢番图近似：正式关系之间存在的计数过程和职能进入理论;确定这些职能的数字作为经典号码;和某些渐近估计举行几乎无处不在。每一章都是一个更广泛的一般理论的一个特例，这一点还不为人所知。这一点的指示是整个书，连同参考目前的出版物。这本书可能会被用在一个过程中的数论，其学生将因此被放在接触有趣的，但可访问的问题在底层的数学。
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.