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math.DS2007
Intersective polynomials and polynomial Szemeredi theorem
Vitaly Bergelson, Alexander Leibman, Emmanuel Lesigne
Let $P=\{p_{1},\ld,p_{r}\}\subset\Q[n_{1},\ld,n_{m}]$ be a family of polynomials such that $p_{i}(\Z^{m})\sle\Z$, $i=1,\ld,r$. We say that the family has {\it PSZ property} if…
math.DS2007
Van der Corput sets in Z^d
Vitaly Bergelson, Emmanuel Lesigne
In this partly expository paper we study van der Corput sets in , with a focus on connections with harmonic analysis and recurrence properties of measure preserving dynamical…