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arXiv · 1704.02746

Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density

Xiongping Dai·Hailan Liang·Xinjia Tang
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Abstract

By using ergodic theoretic techniques following Hillel F\"{u}rstenberg, we prove that measurable subsets of a locally compact abelian group of positive upper density contain Szemer\'{e}di-wise configurations defined by an arbitrary compact subset of the group.

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Xiongping Dai, Hailan Liang, Xinjia Tang. 2017-04-10. Szemeredi-type theorems for subsets of locally compact abelian groups of positive upper Banach density. https://arxiv.org/abs/1704.02746

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