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∞, 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∞ and (|hB|)h=1∞.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Analytic Number Theory Research
Limits and Structures in Graph Theory
Publication details
- Journal / source
- The Fibonacci Quarterly
- Volume
- 64
- Issue
- 1
- Pages
- 70–82
- Publication date
- 2 January 2026
- Language
- EN