Davenport–Erdős theorem
= Davenport–Erdős theorem
{wiki=Davenport–Erdős_theorem}
The Davenport–Erdős theorem is a result in additive number theory, specifically concerning the sum sets of subsets of integers. It states that if \\( A \\) is a subset of the natural numbers \\( \\mathbb\{N\} \\) with finite positive upper density, then the set of all finite sums of elements of \\( A \\) (i.e.