E. White

activity

20182023

most citedAsymptotics for the number of directions determined by

[n] \times [n]

F_{p}^{2}

2 citations · 3 across the 9 of their papers we have counts for

collaborators

10 papers

math.CO2023

Improved estimates on the number of unit perimeter triangles

Ritesh Goenka, Kenneth Moore, Ethan Patrick White

We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point…

math.CO2023

Additive structure in convex translates

Gabriel Currier, Jozsef Solymosi, Ethan Patrick White

Let $P$ be a set of points in the plane, and $S$ a strictly convex set of points. In this note, we show that if $P$ contains many translates of $\math…

math.CO2022

An almost-tight $L^{2}$ autoconvolution inequality

Ethan Patrick White

Let $F$ denote the set of functions $f : [- 1/2, 1/2] \to R$ such that $\int f = 1$ . We determine the value of $in f_{f \in F} ∥ f * f ∥_{2}$ up…

math.CO2022

Erdős' minimum overlap problem

Ethan Patrick White

We obtain a substantially improved lower bound for the minimum overlap problem asked by Erdős. Our approach uses elementary Fourier analysis to translate the problem to a convex op…

math.NT2021★ 2 cited

Asymptotics for the number of directions determined by $[n] \times [n]$ in $F_{p}^{2}$

Greg Martin, Ethan Patrick White, Chi Hoi Yip

Let $p$ be a prime and $n$ a positive integer such that $\frac{p}{2} + 1 \leq n \leq p$ . For any arithmetic progression $A$ of length $n$ in $F_{p}$ , we establish…

math.NT2020★ 1 cited

On the number of distinct roots of a lacunary polynomial over finite fields

Jozsef Solymosi, Ethan P. White, Chi Hoi Yip

We obtain new upper bounds on the number of distinct roots of lacunary polynomials over finite fields. Our focus will be on polynomials for which there is a large gap between conse…