论文标题
类型$ \ mathbf {n^2+1} $，$ \ mathbf {n^2+2} $
Pairs of square-free values of the type $\mathbf{n^2+1}$, $\mathbf{n^2+2}$
论文作者
论文摘要
在本文中，我们表明，存在$ n^2+1 $，$ n^2+2 $的连续无正方形数字。当$ n $不超过足够大的正整数时，我们还为这种无平方对的渐近公式建立了一个渐近配对的公式。
In the present paper we show that there exist infinitely many consecutive square-free numbers of the form $n^2+1$, $n^2+2$. We also establish an asymptotic formula for the number of such square-free pairs when $n$ does not exceed given sufficiently large positive integer.
