Abstract
Let $p$ be a sufficiently large prime and $\mathcal{A}$ be a sum-free subset of $\mathbb{Z} / p\mathbb{Z}$; improving on a previous result of V. F. Lev, we show that if $|\mathcal{A}|=\mathrm{card}(\mathcal{A}) \gt 0.324 p$, then $\mathcal{A}$ is contained in a dilation of the interval $[|\mathcal{A}|, p-|\mathcal{A}|]$ (mod. $p)$.
Citation
Jean-Marc Deshouillers. Gregory A. Freiman. "On sum-free sets modulo $p$." Funct. Approx. Comment. Math. 35 51 - 59, January 2006. https://doi.org/10.7169/facm/1229442616
Information
