A Higher-dimensional Sieve Method 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Diamond, Harold G./ Halberstam, H./ Galway, William F. 作者

译者

2008-11 出版日期

290 页数

$ 111.87 价格

丛书系列

9780521894876 图书编码

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A Higher-dimensional Sieve Method 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica(r) software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica(r) which aid in the computation of such functions.

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