论文标题
正方形数字的差异在短时间间隔
Variance of Squarefull Numbers in Short Intervals
论文作者
论文摘要
在本文中，我们在短时间间隔研究方形数字数量的差异。结果，我们能够证明，对于任何$ 0 <θ<1/2 $，几乎所有短间隔$（x，x，x + x^{1/2 +θ}}] $包含大约$ \ frac {ζ（3/2）} {2ζ（3）（3）（3）} x^θ^θ$ squarefull数字。
In this paper, we study the variance of the number of squarefull numbers in short intervals. As a result, we are able to prove that, for any $0 < θ< 1/2$, almost all short intervals $(x, x + x^{1/2 + θ}]$ contain about $\frac{ζ(3/2)}{2 ζ(3)} x^θ$ squarefull numbers.
