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A nilpotent IP polynomial multiple recurrence theorem

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(2012)cite arxiv:1206.0287Comment: 28 pages, v2: definition of polynomial and proof of Theorem 2.5 changed, minor corrections.

Abstract

We generalize the IP-polynomial Szemerédi theorem due to Bergelson and McCutcheon and the nilpotent Szemerédi theorem due to Leibman. Important tools in our proof include a generalization of Leibman's result that polynomial mappings into a nilpotent group form a group and a multiparameter nilpotent Hales-Jewett theorem.

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