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Sets of multiples

Hall, R. R.

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Sets of multiples

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sets of multiples/ Richard R. Hall.
Author:	Hall, R. R.
Published:	Cambridge :Cambridge University Press, : 1996.,
Description:	xvi, 264 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	0. First ideas -- 1. Besicovitch and Behrend sequences -- 2. Derived sequences and densities -- 3. Oscillation -- 4. Probabilistic group theory -- 5. Divisor density -- 6. Divisor uniform distribution -- 7. H(x, y, z).
Subject:	Sequences (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9780511566011
ISBN:	9780511566011

Sets of multiples
Hall, R. R.

Sets of multiples[electronic resource] /Richard R. Hall. - Cambridge :Cambridge University Press,1996. - xvi, 264 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;118. - Cambridge tracts in mathematics ;118..

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

0. First ideas -- 1. Besicovitch and Behrend sequences -- 2. Derived sequences and densities -- 3. Oscillation -- 4. Probabilistic group theory -- 5. Divisor density -- 6. Divisor uniform distribution -- 7. H(x, y, z).

The theory of sets of multiples, a subject which lies at the intersection of analytic and probabilistic number theory, has seen much development since the publication of Sequences by Halberstam and Roth nearly thirty years ago. The area is rich in problems, many of them still unsolved or arising from current work. The author sets out to give a coherent, essentially self-contained account of the existing theory and at the same time to bring the reader to the frontiers of research. One of the fascinations of the theory is the variety of methods applicable to it, which include Fourier analysis, group theory, high and ultra-low moments, probability and elementary inequalities, as well as several branches of number theory. This Tract is the first devoted to the subject, and will be of value to research workers or graduate students in number theory.

ISBN: 9780511566011Subjects--Topical Terms:

555869
Sequences (Mathematics)

LC Class. No.: QA246.5 / .H33 1996

Dewey Class. No.: 512.72

Sets of multiples
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245 1 0 $a Sets of multiples $h [electronic resource] / $c Richard R. Hall.
260 $a Cambridge : $b Cambridge University Press, $c 1996.
300 $a xvi, 264 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 118
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 0. First ideas -- 1. Besicovitch and Behrend sequences -- 2. Derived sequences and densities -- 3. Oscillation -- 4. Probabilistic group theory -- 5. Divisor density -- 6. Divisor uniform distribution -- 7. H(x, y, z).
520 $a The theory of sets of multiples, a subject which lies at the intersection of analytic and probabilistic number theory, has seen much development since the publication of Sequences by Halberstam and Roth nearly thirty years ago. The area is rich in problems, many of them still unsolved or arising from current work. The author sets out to give a coherent, essentially self-contained account of the existing theory and at the same time to bring the reader to the frontiers of research. One of the fascinations of the theory is the variety of methods applicable to it, which include Fourier analysis, group theory, high and ultra-low moments, probability and elementary inequalities, as well as several branches of number theory. This Tract is the first devoted to the subject, and will be of value to research workers or graduate students in number theory.
650 0 $a Sequences (Mathematics) $3 555869
830 0 $a Cambridge tracts in mathematics ; $v 118. $3 3470564
856 4 0 $u https://doi.org/10.1017/CBO9780511566011