Takumi Murayama

most citedDilated Floor Functions That Commute

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

collaborators

2 papers

math.AG2024

Injectivity theorems and cubical descent for schemes, stacks, and analytic spaces

Takumi Murayama

We prove relative injectivity, torsion-freeness, and vanishing theorems for generalized normal crossing pairs on schemes, algebraic stacks, formal schemes, semianalytic germs of co…

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…