58 citations · 373 across the 79 of their papers we have counts for
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math.NT2007★ 12 cited
On sumsets of dissociated sets
I. D. Shkredov
In the paper we are studying some properties of subsets Q of sums of dissociated sets. The exact upper bound for the number of solutions of the following equation (1) q_1 + ... + q…
math.NT2007★ 2 cited
On a two-dimensional analog of Szemeredi's Theorem in Abelian groups
I. D. Shkredov
Let G be a finite Abelian group and A be a subset G\times G of cardinality at least |G|^2/(log log |G|)^c, where c>0 is an absolute constant. We prove that A contains a triple {(k,…
math.NT2007★ 10 cited
On sets with small doubling
I. D. Shkredov
Let G be an arbitrary Abelian group and let A be a finite subset of G. A has small additive doubling if |A+A| < K|A| for some K>0. These sets were studied in papers of G.A. Freiman…