Sets of Multiples
Book Details
Format
Paperback / Softback
Book Series
Cambridge Tracts in Mathematics
ISBN-10
0521109922
ISBN-13
9780521109925
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 30th, 2009
Print length
284 Pages
Weight
420 grams
Dimensions
22.90 x 15.20 x 1.60 cms
Product Classification:
Number theory
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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 author gives a coherent, essentially self-contained account of the existing theory and at the same time brings the reader to the frontiers of research.
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.
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