A structure theorem for sets with doubling $4+\delta$

Yifan Jing; Akshat Mudgal

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arXiv · 2604.25893

A structure theorem for sets with doubling $4+\delta$

Yifan Jing·Akshat Mudgal

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Abstract

We prove a structural result for sets of integers with doubling at most $4 + \delta$, with $\delta>0$ sufficiently small. This generalises earlier work of Eberhard--Green--Manners which dealt with sets of integers with doubling strictly less than $4$, and makes progress towards a question of Green.

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Yifan Jing, Akshat Mudgal. 2026-04-28. A structure theorem for sets with doubling $4+\delta$. https://arxiv.org/abs/2604.25893

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