S. J. Miller

collaborators

3 papers

math.NT2026

Comparing Left and Right Quotient Sets in Groups

Julian Duvivier, Xiaoyao Huang, Ava Kennon +5

For a finite subset $A$ of a group $G$ , we define the right quotient set and the left quotient set of $A$ , respectively, as $A A^{- 1} := {a_{1} a_{2}^{- 1} : a_{1}, a_{2} \in A}$ , $A^{-1}A := \…

math.NT2026

The Ordered Zeckendorf Game

Ivan Bortnovskyi, Michael Lucas, Steven J. Miller +3

We introduce and analyze the ordered Zeckendorf game, a novel combinatorial two-player game inspired by Zeckendorf's Theorem, which guarantees a unique decomposition of every posit…

math.NT2025

Black Hole Zeckendorf Games

Caroline Cashman, Steven J. Miller, Jenna Shuffleton +1

Zeckendorf proved that every positive integer can be written as a decomposition of non-adjacent Fibonacci numbers. Baird-Smith, Epstein, Flint, and Miller converted the process of…