论文标题
具有丰富差异的凸面
A convex set with a rich difference
论文作者
论文摘要
我们构建了一个带有基数$ 2N $的凸集$ a $，并具有差异集$ a-a $的属性，可以以$ n $不同的方式表示。我们还证明，通过证明任何凸面$ a $ a $，最大可能的表示元素可以拥有$ a-a $可以具有$ \ lfloor | a |/2 \ rfloor $，这是最佳的。
We construct a convex set $A$ with cardinality $2n$ and with the property that an element of the difference set $A-A$ can be represented in $n$ different ways. We also show that this construction is optimal by proving that for any convex set $A$, the maximum possible number of representations an element of $A-A$ can have is $\lfloor |A|/2 \rfloor $.
