2 papers
math.CO2022
Dot Product Bounds in Galois Rings
David Crosby
We consider a problem related to the Erdoős Unit Distance Conjecture: How often can a single dot product configuration or a multiple dot product configuration occur over a Galoi Ri…
math.CO2021
On the number of dot product chains in finite fields and rings
Vincent Blevins, David Crosby, Ethan Lynch +1
We explore variants of Erd\H os' unit distance problem concerning dot products between successive pairs of points chosen from a large finite subset of either or $\m…