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A variant of the hypergraph removal lemma

Terence Tao
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Abstract

Recent work of Gowers and Nagle, Rödl, Schacht, and Skokan has established a hypergraph removal lemma, which in turn implies some results of Szemerédi and Furstenberg-Katznelson concerning one-dimensional and multi-dimensional arithmetic progressions respectively. In this paper we shall give a self-contained proof of this hypergraph removal lemma. In fact we prove a slight strengthening of the result, which we will use in a subsequent paper to establish infinitely many constellations of a prescribed shape in the Gaussian primes.

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Terence Tao. 2005-11-16. A variant of the hypergraph removal lemma. https://arxiv.org/abs/math/0503572

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