Sets of Multiples

Sets of Multiples

by Richard R. Hall
     
 

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ISBN-10: 0521109922

ISBN-13: 9780521109925

Pub. Date: 04/30/2009

Publisher: Cambridge University Press

The theory of sets of mutliples, 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

Overview

The theory of sets of mutliples, 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 number theorists, whether they be research workers or graduate students.

Product Details

ISBN-13:
9780521109925
Publisher:
Cambridge University Press
Publication date:
04/30/2009
Series:
Cambridge Tracts in Mathematics Series, #118
Pages:
284
Product dimensions:
5.90(w) x 8.90(h) x 0.90(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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