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

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2 papers · 1 filter

math.CO2023

Generalized point configurations in $F_{q}^{d}$

Paige Bright, Xinyu Fang, Barrett Heritage +4

In this paper, we generalize \cite{IosevichParshall}, \cite{LongPaths} and \cite{cycles} by allowing the \emph{distance} between two points in a finite field vector space to be def…

math.CO2023

Spherical Configurations over Finite Fields

Neil Lyall, Akos Magyar, Hans Parshall

We establish that if $d \geq 2 k + 6$ and $q$ is odd and sufficiently large with respect to $α \in (0, 1)$ , then every set $A \subseteq F_{q}^{d}$ of size $∣ A ∣ \geq α q^{d}$ will con…

Generalized point configurations in Fqd​

Spherical Configurations over Finite Fields

Generalized point configurations in $F_{q}^{d}$