David Harry Richman

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20182025

most citedVector encoding of phylogenetic trees by ordered leaf attachment

1 citations · 2 across the 7 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.NT2024

The Möbius function of the poset of triangular numbers under divisibility

Rohan Pandey, Harry Richman

This paper analyzes the Möbius ( $μ (i)$ ) function defined on the partially ordered set of triangular numbers ( $T (i)$ ) under the divisibility relation. We make conjectures o…

math.NT2018

Dilated floor functions having nonnegative commutator I. Positive and mixed sign dilations

Jeffrey C. Lagarias, D. Harry Richman

In this paper and its sequel we classify the set $S$ of all real parameter pairs $(α, β)$ such that the dilated floor functions $f_{α} (x) = ⌊ α x ⌋$ and $f_β(x) = \lfloor{β…

The family of a-floor quotient partial orders

The Möbius function of the poset of triangular numbers under divisibility

Dilated floor functions having nonnegative commutator I. Positive and mixed sign dilations

The family of $a$ -floor quotient partial orders