The floor quotient partial order

Jeffery C. Lagarias; David Harry Richman

doi:10.1016/j.aam.2023.102615

paper

The floor quotient partial order

arXiv:2212.11689 · doi:10.1016/j.aam.2023.102615

Abstract

A positive integer $d$ is a floor quotient of $n$ if there is a positive integer $k$ such that $d = ⌊ n / k ⌋$ . 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.

38 pages, 7 figures. v2: final version, to appear in Advances in Applied Mathematics

References in corpus (1)

Dilated Floor Functions That Commute