2 papers
math.CA2022
Vanishing sums of roots of unity and the Favard length of self-similar product sets
Izabella Laba, Caleb Marshall
We improve a special case of the Lam-Leung lower bound on the number of elements in a vanishing sum of -th roots of unity. Using this result, we extend the Favard length estimat…
math.CO2020
Dot product chains
Shelby Kilmer, Caleb Marshall, Steven Senger
We study a variant of Erd\H os' unit distance problem, concerning dot products between successive pairs of points chosen from a large finite point set. Specifically, given a large…