9 citations · 13 across the 3 of their papers we have counts for
3 papers
math.NT2005
On a Generalization of Szemeredi's Theorem
I. D. Shkredov
Let A \subseteq [1,..,N]^2 be a set of cardinality at least N^2/(log log N)^c, where c>0 is an absolute constant. We prove that A contains a triple {(k,m), (k+d,m), (k,m+d)}, where…
math.DS2004★ 4 cited
On Multiple Recurrence
I. D. Shkredov
Let X be a metric space with metric d and T,S be two commutative measure-preserving maps of X. In this paper we obtain numerical results about multiple recurrence of almost every p…
math.NT2004★ 9 cited
On one problem of Gowers
I. D. Shkredov
Let A \subseteq [1,..,N]^2 be a set of density at least 1/(log log log N)^c, where c some constant c>0. We prove that A contains a so-called right-angle triangle, i.e. a triple of…