Large sum-free subsets of sets of integers via $L^1$-estimates for trigonometric series

Benjamin Bedert

A set $B$ is said to be \emph{sum-free} if there are no $x,y,z\in B$ with $x+y=z$. We show that there exists a constant $c>0$ such that any set $A$ of $n$ integers contains a sum-f…