论文标题
地板商的部分订单
The floor quotient partial order
论文作者
论文摘要
如果有正整数$ k $,则正整数$ d $是$ n $的地板商。地板商关系定义了积极整数的部分顺序。本文研究了该部分顺序的内部结构及其Möbius功能。
A positive integer $d$ is a floor quotient of $n$ if there is a positive integer $k$ such that $d = \lfloor n/k \rfloor$. The floor quotient relation defines a partial order on the positive integers. This paper studies the internal structure of this partial order and its Möbius function.