Format:
1 Online-Ressource (xvi, 264 pages)
,
digital, PDF file(s).
ISBN:
9780511566011
Series Statement:
Cambridge tracts in mathematics 118
Content:
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.
Content:
0. 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)
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521109925
Additional Edition:
ISBN 9780521404242
Additional Edition:
ISBN 9780521404242
Additional Edition:
ISBN 9780521109925
Additional Edition:
Erscheint auch als Hall, Richard R. Sets of multiples Cambridge [u.a.] : Cambridge Univ. Press, 1996 ISBN 052140424X
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521404242
Language:
English
Subjects:
Mathematics
Keywords:
Folge
DOI:
10.1017/CBO9780511566011
