Name
Abstract | ||
|---|---|---|
We show that for any set A in a finite Abelian group G that has at least c|A|^3 solutions to a"1+a"2=a"3+a"4, a"i@?A there exist sets A^'@?A and @L@?G, @L={@l"1,...,@l"t}, t@?c^-^1log|A| such that A^' is contained in {@?"j"="1^t@e"j@l"j|@e"j@?{0,-1,1}} and A^' has @?c|A|^3 solutions to a"1^'+a"2^'=a"3^'+a"4^', a"i^'@?A^'. We also study so-called symmetric sets or, in other words, sets of large values of convolution. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcta.2010.11.001 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
finite abelian group,additive combinatorics,large value,additive energy,symmetric sets,large additive energy,so-called symmetric set | Discrete mathematics,Abelian group,Combinatorics,Convolution,Mathematics | Journal |
Volume | Issue | ISSN |
118 | 3 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
1 | 0.43 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| I. D. Shkredov | 1 | 1 | 1.11 |
| Sergey Yekhanin | 2 | 983 | 52.33 |