TY - DATA AU - Granville, Andrew AU - Nathanson, Melvyn B. AU - Solymosi, Jozsef TI - Additive combinatorics T2 - CRM Proceedings and Lecture Notes, SN - 9781470439576 (online) PY - 2007/// CY - Providence, R.I. PB - American Mathematical Society KW - Additive combinatorics KW - Combinatorial analysis N1 - Includes bibliographical references; An introduction to additive combinatorics ; Elementary additive combinatorics ; Many additive quadruples ; An old new proof of Roth's theorem ; Bounds on exponential sums over small multiplicative subgroups ; Montreal notes on quadratic Fourier analysis ; Ergodic methods in additive combinatorics ; The ergodic and combinatorial approaches to Szemeredi's theorem ; Cardinality questions about sumsets ; Open problems in additive combinatorics ; Some problems related to sum-product theorems ; Lattice points on circles, squares in arithmetic progressions and sumsets of squares ; Problems in additive number theory. I ; Double and triple sums modulo a prime ; Additive properties of product sets in fields of prime order ; Many sets have more sums than differences ; Davenport's constant for groups of the form UR - http://www.ams.org/crmp/043 ER -