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arXiv · 2404.01529

On universal sets and sumsets

Ilya D. Shkredov
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Abstract

We study the concept of universal sets from the additive--combinatorial point of view. Among other results we obtain some applications of this type of uniformity to sets avoiding solutions to linear equations, and get an optimal upper bound for the covering number of general sumsets.

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Ilya D. Shkredov. 2024-04-01. On universal sets and sumsets. https://arxiv.org/abs/2404.01529

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