论文标题
明确的范围，对于无方整数之间的较大差距
Explicit bounds for large gaps between squarefree integers
论文作者
论文摘要
我们获得了当前最佳渐近上限的明确形式，用于无方整数之间的间隙。特别是，对于任何$ x \ ge 2 $，表格$（x，x，x + 11x^{1/5} \ log x] $的每个间隔都包含一个平方英尺的整数。如果假定$ x $比A（非常）大的常数大于A（非常）大的常数，则可以进一步改进常数11。
We obtain explicit forms of the current best known asymptotic upper bounds for gaps between squarefree integers. In particular we show, for any $x \ge 2$, that every interval of the form $(x, x + 11x^{1/5}\log x]$ contains a squarefree integer. The constant 11 can be improved further, if $x$ is assumed to be larger than a (very) large constant.
