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A higher-dimensional sieve method = ...

Diamond, Harold G., (1940-)

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A higher-dimensional sieve method = with procedures for computing sieve functions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	A higher-dimensional sieve method/ Harold G. Diamond, H. Halberstam, William F. Galway.
Reminder of title:	with procedures for computing sieve functions /
Author:	Diamond, Harold G.,
other author:	Halberstam, H.
Published:	Cambridge :Cambridge University Press, : 2008.,
Description:	xxi, 266 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Sieves (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9780511542909
ISBN:	9780511542909

A higher-dimensional sieve method = with procedures for computing sieve functions /
Diamond, Harold G.,1940-

A higher-dimensional sieve methodwith procedures for computing sieve functions /[electronic resource] :Harold G. Diamond, H. Halberstam, William F. Galway. - Cambridge :Cambridge University Press,2008. - xxi, 266 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;177. - Cambridge tracts in mathematics ;177..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 MathematicaR 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 MathematicaR which aid in the computation of such functions.

ISBN: 9780511542909Subjects--Topical Terms:

705221
Sieves (Mathematics)

LC Class. No.: QA246 / .D53 2008

Dewey Class. No.: 512.73

A higher-dimensional sieve method = with procedures for computing sieve functions /
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245 1 2 $a A higher-dimensional sieve method $h [electronic resource] : $b with procedures for computing sieve functions / $c Harold G. Diamond, H. Halberstam, William F. Galway.
260 $a Cambridge : $b Cambridge University Press, $c 2008.
300 $a xxi, 266 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 177
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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 MathematicaR 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 MathematicaR which aid in the computation of such functions.
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700 1 $a Galway, William F. $3 1232910
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