A structure theorem for sets with doubling $4+δ$

Fuente: arXiv
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Auteurs principaux: Jing, Yifan, Mudgal, Akshat
Format: Preprint
Publié: 2026
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author Jing, Yifan
Mudgal, Akshat
author_facet Jing, Yifan
Mudgal, Akshat
contents We prove a structural result for sets of integers with doubling at most $4 + δ$, with $δ>0$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_25893
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A structure theorem for sets with doubling $4+δ$
Jing, Yifan
Mudgal, Akshat
Number Theory
Combinatorics
We prove a structural result for sets of integers with doubling at most $4 + δ$, with $δ>0$ 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.
title A structure theorem for sets with doubling $4+δ$
topic Number Theory
Combinatorics
url https://arxiv.org/abs/2604.25893