论文标题
$ \ boldsymbol {n^dα} $之间间距的分布
The distribution of spacings between the fractional parts of $\boldsymbol{n^dα}$
论文作者
论文摘要
我们研究了$ n^dα$的分数部分之间间距的分布。对于$α$，我们证明了$ n^dα\ mod 1，1 \ leq n \ leq n，$ as Poissonian as Poissonian as $ n \ to \ infty $沿着合适的子序列，是$ n^dα\ mod 1，1 \ leq n \ leq n，$。
We study the distribution of spacings between the fractional parts of $n^dα$. For $α$ of high enough Diophantine type we prove a necessary and sufficient condition for $n^dα\mod 1, 1\leq n\leq N,$ to be Poissonian as $N\to \infty$ along a suitable subsequence.
