Sets of Multiples

Sets of Multiples

by Richard R. Hall, R. R. Hall, Hall Richard R.
     
 

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ISBN-10: 052140424X

ISBN-13: 9780521404242

Pub. Date: 03/28/2008

Publisher: Cambridge University Press

The theory of sets of multiples, a subject that 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. In this book, the author gives a coherent,

Overview

The theory of sets of multiples, a subject that 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. In this book, the author gives a coherent, self-contained account of the existing theory, bringing 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, and several branches of number theory.

Product Details

ISBN-13:
9780521404242
Publisher:
Cambridge University Press
Publication date:
03/28/2008
Series:
Cambridge Tracts in Mathematics Series, #118
Pages:
284
Product dimensions:
5.98(w) x 8.98(h) x 0.75(d)

Table of Contents

Preface; Introduction; Notation; 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.

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