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math.NT2024
The family of -floor quotient partial orders
Jeffrey C. Lagarias, David Harry Richman
An approximate divisor order is a partial order on the positive integers 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 () function defined on the partially ordered set of triangular numbers () under the divisibility relation. We make conjectures o…