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Cambridge Tracts in Mathematics #118: Sets of Multiples

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Cambridge Tracts in Mathematics #118: Sets of Multiples Cover

 

Synopses & Reviews

Publisher Comments:

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 number theorists, whether they be research workers or graduate students.

Synopsis:

The theory of sets of multiples, a subject which lies at the intersection of analytic and probabilistic number theory, has seen much development in recent years. 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. This Tract is the first devoted to the subject, and will be of value to research workers or graduate students in number theory.

Synopsis:

Research monograph in analytic and probabilistic number theory.

Description:

Includes bibliographical references (p. 258-262) and index.

Table of Contents

Preface; Introduction; Notation; 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); Bibliography; Index.

Product Details

ISBN:
9780521404242
Author:
Hall, Richard R.
Author:
Hall, R. R.
Author:
Richard R., Hall
Author:
Bollobas, B.
Author:
Fulton, W.
Author:
Sarnak, P.
Author:
Kirwan, F.
Author:
Katok, A.
Publisher:
Cambridge University Press
Location:
Cambridge ;
Subject:
General
Subject:
Number Theory
Subject:
Sequences (Mathematics)
Subject:
Set Theory
Subject:
Sequences.
Subject:
Mathematics-Number Theory
Edition Description:
Hardcover
Series:
Cambridge Tracts in Mathematics (Hardcover)
Series Volume:
6961118
Publication Date:
20080331
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
284
Dimensions:
9.27x6.30x.81 in. 1.09 lbs.

Related Subjects

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Science and Mathematics » Mathematics » Number Theory

Cambridge Tracts in Mathematics #118: Sets of Multiples New Hardcover
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Product details 284 pages Cambridge University Press - English 9780521404242 Reviews:
"Synopsis" by , The theory of sets of multiples, a subject which lies at the intersection of analytic and probabilistic number theory, has seen much development in recent years. 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. This Tract is the first devoted to the subject, and will be of value to research workers or graduate students in number theory.
"Synopsis" by , Research monograph in analytic and probabilistic number theory.
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