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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Terence C. Tao and Van H. Vu
Title: Additive combinatorics
Additional book information: Cambridge Studies in Advanced Mathematics, 105, Cambridge University Press, Cambridge, 2006, xviii+512 pp., ISBN 0-521-85386-9


References:

1.
H. Davenport, A historical note, J. London Math. Soc. 22 (1947), 100-101. MR 0022865 (9:271b)

2.
T. C. Tao, The ergodic and combinatorial approaches to Szemerédi's theorem, Additive combinatorics, 145-193, CRM Proc. Lecture Notes 43, Amer. Math. Soc., Providence, RI, 2007.

3.
T.C. Tao and V. H. Vu, Random matrices: Universality of ESDs and the circular law, preprint available at http://arxiv.org/abs/0807.4898.


Additional Information:

Reviewer(s):
Ben Green
Affiliation: Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, England
Email: b.j.green@dpmms.cam.ac.uk

Review Information:
Journal: Bull. Amer. Math. Soc. 46 (2009), 489-497.

MSC (2000): Primary 11--02; Secondary 05--02, 05D10, 11B13, 11P70, 11P82, 28D05, 37A45
DOI: 10.1090/S0273-0979-09-01231-2
PII: S 0273-0979(09)01231-2
Posted: January 15, 2009
Additional notes: Part of this review was written, appropriately enough, while the author was attending the semester in Additive Combinatorics at the Institute for Advanced Study, Princeton. He thanks the Institute for their staging of this most enjoyable and productive programme.
Copyright of article: Copyright 2009, American Mathematical Society




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