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

290 Pages·2008·18.095 MB·English
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by Harold G. Diamond, H. Halberstam, William F. Galway| 2008| 290 pages| 18.095| English

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

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.

Detailed Information

Author:Harold G. Diamond, H. Halberstam, William F. Galway
Publication Year:2008
ISBN:9780511438653
Pages:290
Language:English
File Size:18.095
Format:PDF
Price:FREE
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