# On the density of sumsets and product sets

## TL;DR

This paper explores the relationships between the density of integer sets and the densities of their sumsets, product sets, and subset sums, revealing new insights into their combinatorial structure.

## Contribution

It introduces novel links between the densities of sets and their sumsets, product sets, and subset sums, advancing understanding in additive and multiplicative combinatorics.

## Key findings

- Established bounds relating set density to sumset density
- Identified conditions under which product sets have increased density
- Connected the density of subset sums to original set properties

## Abstract

In this paper some links between the density of a set of integers and the density of its sumset, product set and set of subset sums are presented.