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arXiv · 1207.1461

Hilbert cubes in progression-free sets and in the set of squares II

Rainer Dietmann·Christian Elsholtz
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Abstract

Let $S_2$ be the set of integer squares. We show that the dimension $d$ of a Hilbert cube $a_0+\{0,a_1\}+...+ \{0, a_d\}\subset S_2$ is bounded by $d=O(\log \log N)$

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Rainer Dietmann, Christian Elsholtz. 2012-07-05. Hilbert cubes in progression-free sets and in the set of squares II. https://arxiv.org/abs/1207.1461

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