David Harry Richman

most citedDilated Floor Functions That Commute

9 citations · 9 across the 2 of their papers we have counts for

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math.NT2024

The family of $a$ -floor quotient partial orders

Jeffrey C. Lagarias, David Harry Richman

An approximate divisor order is a partial order on the positive integers $N^{+}$ that refines the divisor order and is refined by the additive total order. A previous paper…

math.NT2016★ 9 cited

Dilated Floor Functions That Commute

Jeffrey C. Lagarias, Takumi Murayama, D. Harry Richman

We determine all pairs of real numbers $(α, β)$ such that the dilated floor functions $⌊ α x ⌋$ and $⌊ β x ⌋$ commute under composition, i.e., such that $\lfloo…

The family of a-floor quotient partial orders

Dilated Floor Functions That Commute

The family of $a$ -floor quotient partial orders