This work collects written versions of most of the lectures given at a spring 2006 school held at the University of Montreal, Canada, plus submitted contributions from speakers at a related workshop. Some specific papers topics addressed include bounds on exponential sums over small multiplicative subgroups, ergodic methods in additive combinatorics, the ergodic and combinatorial approaches to Szemerédi's theorem, problems related to sum-product theorems, additive properties of product sets in fields of prime order, and open problems in additive combinatorics. The book will be of interest to mathematicians from many different backgrounds, including group theory, complexity theory, discrete geometry, and ergodic theory. There is no subject index. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Book by Andrew Granville Melvyn B Nathanson and Jozsef Sol
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