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arXiv · 2611.05267

On the van der Corput property for cubes

Steve Fan·Andrew Lott·Ákos Magyar·Máté Matolcsi·Imre Z. Ruzsa
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Abstract

We prove a power-saving form of the van der Corput property for cubes. As a consequence, we obtain a power-saving bound $|A|\ll_\varepsilon N^{59/60+\varepsilon}$ for sets $A\subseteq\{1,\ldots,N\}$ with no nonzero cube differences.

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Steve Fan, Andrew Lott, Ákos Magyar, Máté Matolcsi, Imre Z. Ruzsa. 2026-11-03. On the van der Corput property for cubes. https://arxiv.org/abs/2611.05267

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