Andrew Lott

activity

20232026

collaborators

Showing math.COShow all

2 papers · 1 filter

math.CO2026

Refined upper bounds on Schur-like numbers

Swaroop Hegde, Andrew Lott, Giorgis Petridis +1

For positive integers $r, m$ and $N$ , every $r$ -coloring of ${1, \dots, N}$ contains a monochromatic solution to $x_{1} + \dots + x_{m + 1} = y_{1} + \dots + y_{m}$ provided that $N \ge 3^r (r!)^{…

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…