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arXiv · 2412.16154

Inverse problems for sumset sizes of finite sets of integers

Melvyn B. Nathanson
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Abstract

Let $A$ be a finite set of integers and let $hA$ be its $h$-fold sumset. This paper investigates the sequence of sumset sizes $( |hA| )_{h=1}^{\infty}$, the relations between these sequences for affinely inequivalent sets $A$ and $B$, and the comparative growth rates and configurations of the sumset size sequences $( |hA| )_{h=1}^{\infty}$ and $( |hA| )_{h=1}^{\infty}$.

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Melvyn B. Nathanson. 2024-12-20. Inverse problems for sumset sizes of finite sets of integers. https://doi.org/10.1017/s0004972726101270

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