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A nilpotent IP polynomial multiple recurrence theorem

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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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Author notes

  1. Pavel Zorin-Kranich

    Present address: Mathematisches Institut, Universität Bonn, Endenicherallee 60, D-53115, Bonn, Germany

Authors and Affiliations

  1. Korteweg-de Vries Institute for Mathematics, University of Amsterdam, P.O. BOX 94248, 1090 GE, Amsterdam, The Netherlands

    Pavel Zorin-Kranich

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  1. Pavel Zorin-Kranich
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Zorin-Kranich, P. A nilpotent IP polynomial multiple recurrence theorem. JAMA 123, 183–225 (2014). https://doi.org/10.1007/s11854-014-0018-5

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  • DOI: https://doi.org/10.1007/s11854-014-0018-5

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