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arXiv · 1206.0287

A nilpotent IP polynomial multiple recurrence theorem

Pavel Zorin-Kranich
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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 version of the nilpotent Hales-Jewett theorem due to Bergelson and Leibman.

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Pavel Zorin-Kranich. 2018-06-04. A nilpotent IP polynomial multiple recurrence theorem. https://doi.org/10.1007/s11854-014-0018-5

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