论文标题
ULAM数量为零密度
Ulam numbers have zero density
论文作者
论文摘要
在本文中，我们表明自然密度$ \ MATHCAL {D} [（u_m）] $ ulam数字$（u_m）$满足$ \ MATHCAL {D} [（U_M）] = 0 $。也就是说，我们表明，对于$（u_m）\ subset [1，k] $，然后\ begin {align} \ lim \ limits_ {k \ longrightArrow \ infty} \ frac {\ frac {\ left |（u_m）\ cap [1，k]
In this paper we show that the natural density $\mathcal{D}[(U_m)]$ of Ulam numbers $(U_m)$ satisfies $\mathcal{D}[(U_m)]=0$. That is, we show that for $(U_m)\subset [1,k]$ then \begin{align}\lim \limits_{k\longrightarrow \infty}\frac{\left |(U_m)\cap [1,k]\right |}{k}=0.\nonumber \end{align}
