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arXiv · 2609.05384

Counting sets with given doubling via dimension

Marcelo Campos·Gabriel Dahia·João Pedro Marciano
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Abstract

We determine, up to a factor of $2^{o(k)}$, the number of $k$-sets $A \subset \{1, \ldots, n\}$ such that $|A + A| \leq m$, where $k = Θ(\log n)$ and $m \leq k^{1 + α}$, for small $α> 0$, answering a question of Green and Morris.

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Marcelo Campos, Gabriel Dahia, João Pedro Marciano. 2026-09-04. Counting sets with given doubling via dimension. https://arxiv.org/abs/2609.05384

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