Hans Parshall

activity

20152024

most citedOn the quotient set of the distance set

12 citations · 22 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CA2018★ 12 cited

On the quotient set of the distance set

A. Iosevich, D. Koh, H. Parshall

Let $F_{q}$ be a finite field of order $q .$ We prove that if $d \geq 2$ is even and $E \subset F_{q}^{d}$ with $∣ E ∣ \geq 9 q^{\frac{d}{2}}$ then $$ {\Bbb F}_q=\frac{Δ(E)}{Δ(E)}…

math.CO2018★ 3 cited

Embedding distance graphs in finite field vector spaces

Alex Iosevich, Hans Parshall

We show that large subsets of vector spaces over finite fields determine certain point configurations with prescribed distance structure. More specifically, we consider the complet…