Sums of dilates over groups of prime order

David Conlon, Jeck Lim

For $p$ prime, $A\subseteq \mathbb{Z}/p\mathbb{Z}$ and $\lambda \in \mathbb{Z}$, the sum of dilates $A+\lambda \cdot A$ is defined by \[A + λ\cdot A = \{a + λa' : a, a' \in A\}.\] The basic p…