论文标题
一个均匀的设置，长度为4
A uniform set with fewer than expected arithmetic progressions of length 4
论文作者
论文摘要
举例说明了一个子集$ a $ a $ \ mathbb z_n $密度$α$的示例，使得$ a $的特征功能的最大的非客气傅立叶系数非常小，但是可能是随机的算术进度（mod $ n $ n $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $均大于$α^$α^4 $ a $ a $ a $ a $ a $ a $ a $。
An example is presented of a subset $A$ of $\mathbb Z_N$ of density $α$ such that the largest non-trivial Fourier coefficient of the characteristic function of $A$ is very small, but the probability that a random arithmetic progression (mod $N$) of length 4 lies in $A$ is significantly smaller than $α^4$.
