A Higher-Dimensional Sieve Method
Overview
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(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.
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Details
- ISBN-13: 9780521894876
- ISBN-10: 0521894875
- Publisher: Cambridge University Press
- Publish Date: October 2008
- Dimensions: 9.1 x 6.2 x 0.9 inches
- Shipping Weight: 1.15 pounds
- Page Count: 290
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