Sizes of sumsets of finite sets of integers

Abstract: In the study of sums of finite sets of integers, most attention has been paid to sets with small sumsets (Freiman's theorem and related work) and to sets with large sumsets (Sidon sets and $B_h$-sets). The focus of this talk is on the full range of sizes of h-fold sums of a set of k integers. New results and open problems will be presented.

Mathematics

Audience: researchers in the topic

Combinatorial and additive number theory (CANT 2025)