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Additive combinatorics. (English) Zbl 1124.11003
CRM Proceedings and Lecture Notes 43. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4351-2/pbk). vii, 335 p. $ 99.00 (2007).
The articles of this volume will be reviewed individually. Indexed articles: {\it Granville, Andrew}, An introduction to additive combinatorics, 1-27 [Zbl 1183.11007] {\it Solymosi, József}, Elementary additive combinatorics, 29-38 [Zbl 1133.05096] {\it Balog, Antal}, Many additive quadruples, 39-49 [Zbl 1181.11070] {\it Szemerédi, Endre}, An old new proof of Roth’s theorem, 51-54 [Zbl 1219.11018] {\it Kurlberg, Pär}, Bounds on exponential sums over small multiplicative subgroups, 55-68 [Zbl 1159.11025] {\it Green, Ben}, Montréal notes on quadratic Fourier analysis, 69-102 [Zbl 1138.43001] {\it Kra, Bryna}, Ergodic methods in additive combinatorics, 103-143 [Zbl 1127.37009] {\it Tao, Terence}, The ergodic and combinatorial approaches to Szemerédi’s theorem, 145-193 [Zbl 1159.11005] {\it Ruzsa, Imre Z.}, Cardinality questions about sumsets, 195-205 [Zbl 1140.11009] {\it Croot, Ernest S. III; Lev, Vsevolod F.}, Open problems in additive combinatorics, 207-233 [Zbl 1183.11005] {\it Chang, Mei-Chu}, Some problems related to sum-product theorems, 235-240 [Zbl 1140.11008] {\it Cilleruelo, Javier; Granville, Andrew}, Lattice points on circles, squares in arithmetic progressions and sumsets of squares, 241-262 [Zbl 1183.11058] {\it Nathanson, Melvyn B.}, Problems in additive number theory. I, 263-270 [Zbl 1183.11006] {\it Gyarmati, Katalin; Konyagin, Sergei; Ruzsa, Imre Z.}, Double and triple sums modulo a prime, 271-277 [Zbl 1173.11005] {\it Glibichuk, A.A.; Konyagin, S.V.}, Additive properties of product sets in fields of prime order, 279-286 [Zbl 1215.11020] {\it Martin, Greg; O’Bryant, Kevin}, Many sets have more sums than differences, 287-305 [Zbl 1173.11014] {\it Bhowmik, Gautami; Schlage-Puchta, Jan-Christoph}, Davenport’s constant for groups of the form $\Bbb Z_3\oplus\Bbb Z_3\oplus\Bbb Z_{3d}$, 307-326 [Zbl 1173.11012] {\it Adhikari, Sukumar Das; Balasubramanian, R.; Rath, Purusottam}, Some combinatorial group invariants and their generalizations with weights, 327-335 [Zbl 1173.11010]
MSC:
11-06Proceedings of conferences (number theory)
05-06Proceedings of conferences (combinatorics)
00B25Proceedings of conferences of miscellaneous specific interest