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arXiv · 2606.27087

Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa

Noah Kravitz
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Abstract

Extending a little-known construction of Ruzsa, we characterize the quadruples $(s,t,u,v)$ of nonnegative integers such that the inequality $|sA-tA| \leq |uA-vA|$ holds for all finite sets $A \subseteq \mathbb{Z}$

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Noah Kravitz. 2026-06-25. Inequalities among higher-order difference sets, or, remarks on a construction of Ruzsa. https://arxiv.org/abs/2606.27087

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