Sets of Multiplesby Richard R. Hall
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 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.
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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