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Sets of Multiples (Hardcover, New)
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Sets of Multiples (Hardcover, New)
Series: Cambridge Tracts in Mathematics
Expected to ship within 12 - 17 working days
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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 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.
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