A Higher-Dimensional Sieve Method (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2008

0521894875 / 9780521894876

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Hardcover. 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 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 which aid in the computation of such functions. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and practical guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. An Appendix describes methods for computing sieve functions. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
A Higher-Dimensional Sieve Method (Hardcover)
Author
Harold G. Diamond
Publisher
Cambridge University Press, Cambridge
Publication year
2008
Condition
new
Binding
Hardcover
Language
English
ISBN 10
0521894875
ISBN 13
9780521894876

CitiRetail

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