58 citations · 373 across the 79 of their papers we have counts for
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math.DS2005★ 1 cited
On Dynamical Systems With Slow Recurrence Time
I. Shkredov
Using a result of Behrend concerning sets without arithmetic progressions, we construct some examples of dynamical systems with slow time of multiple recurrence. Our theorem is a q…
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…