A proof of the Freiman-Lev conjecture

Yujie Wang, Min Tang

Let $A=\{a_0,a_1,\dots ,a_{k-1}\}$ be a set of $k>7$ integers such that $0=a_0<a_1<\cdots <a_{k-1}$ and $\gcd (A)=1$. The set $2^{\wedge }A=\{a+b:a,b\in A,a\ne b\}$ is ca…