Inverse problems for sumset sizes of finite sets of integers

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 $(|hA|{)}_{h=1}^{\infty }$.

Expanded and improved; 12 pages

References in corpus (2)

• Compression and complexity for sumset sizes in additive number theory
• Explicit sumset sizes in additive number theory