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Item Details
Title: A HIGHER-DIMENSIONAL SIEVE METHOD
WITH PROCEDURES FOR COMPUTING SIEVE FUNCTIONS
By: Harold G. Diamond, H. Halberstam, William F. Galway
Format: Electronic book text

List price: £85.00


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 0511542909
ISBN 13: 9780511542909
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 28 January, 2010
Series: Cambridge Tracts in Mathematics 177
Description: Modern and practical guide to higher dimensional sieve theory, with an Appendix describing methods for computing sieve functions.
Synopsis: 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 (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. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica (R) which aid in the computation of such functions.
Illustrations: 5 b/w illus. 15 tables
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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