Higher-Dimensional Sieve Method : With Procedures for Computing Sieve Functions - Halberstam, Heini

Higher-Dimensional Sieve Method : With Procedures for Computing Sieve Functions

Heini Halberstam

Yayınevi: Cambridge University Press

Yayın tarihi: 10/2008

ISBN: 9780521894876

Yazar : Harold G. Diamond

Ciltli | İngilizce | 290 Sayfa | 15,49x23,11x2,54 cm.

Tür: Matematik-İstatistik

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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 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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