Patch Heard

collaborators

2 papers

math.NT2025

Notes and computations on forbidden differences

Christian Dean, Haley Havard, Elizabeth Hawkins +3

We explore from several perspectives the following question: given $X \subseteq Z$ and $N \in N$ , what is the maximum size $D (X, N)$ of $A \subseteq {1, 2, \dots, N}$ …

math.CO2023

The sum-product problem for small sets

Ginny Ray Clevenger, Haley Havard, Patch Heard +3

For $A \subseteq R$ , let $A + A = {a + b : a, b \in A}$ and $AA = {ab : a, b \in A}$ . For $k \in N$ , let $S P (k)$ denote the minimum value of $max {∣ A + A ∣, ∣ AA ∣}$ over all $A…