Effective results on the size and structure of sumsets

Andrew Granville, George Shakan, Aled Walker

Let $A\subset {\mathbb{Z}}^d$ be a finite set. It is known that $NA$ has a particular size ($|NA|=P_A(N)$ for some $P_A(X)\in \mathbb{Q}[X]$) and structure (all of the l…