对$N!$上尾随零的新认识
A new look at the trailing zeroes on $N!$
摘要：
让我们用$Z_b(n)$表示$n!$的基$b$展开式中尾随零的数目。本文详细研究了函数$Z_b$的行为。特别是，由于$Z_b$是非递减的，我们将描述它增加的点，并计算每个点的跳跃幅度。在传递，我们将研究一些渐近方面，我们将给家庭的整数，不属于图像的$Z_b$。
英文摘要：
Let us denote by $Z_b(n)$ the number of trailing zeroes in the base $b$ expansion of $n!$. In this paper we study with some detail the behavior of the function $Z_b$. In particular, since $Z_b$ is non-decreasing, we will characterize the points where it increases and we will compute the amplitude of the jump in each of such points. In passing, we will study some asymptotic aspects and we will give families of integers that do not belong to the image of $Z_b$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
