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A Higher-Dimensional Sieve Method - Harold G. Diamond,William F. Galway,H. Halberstam

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2008-10-16
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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. Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. Many arithmetical investigations enc ... Täielik kirjeldus

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Kirjeldus

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. Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. 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® software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions.

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Autor Harold G. Diamond, William F. Galway, H. Halberstam
Kirjastaja Cambridge University Press
Väljalaskeaasta 2008
Kaanetüüp Kõvakaaneline
EAN 9780521894876
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180,25 € 300,41 €