论文标题
一组扩张的大差距
A large gap in a dilate of a set
论文作者
论文摘要
令$ a \ subset \ mathbb {f} _p $ with $ | a | > 1 $。我们显示\ Mathbb {f} _p^{\ times} $中有一个$ d \,这样$ d \ cdot a $包含一个大小的间隙至少$ 2P/ | a | -2 $。
Let $A \subset \mathbb{F}_p$ with $|A| > 1$. We show there is a $d \in \mathbb{F}_p^{\times}$ such that $d \cdot A$ contains a gap of size at least $2p/ |A| - 2 $.