论文标题

地板商的部分订单

The floor quotient partial order

论文作者

Lagarias, Jeffery C., Richman, David Harry

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.

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