James Aaronson

activity

20162020

most citedExact hyperplane covers for subsets of the hypercube

5 citations · 16 across the 6 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CO2018★ 2 cited

Functions with large additive energy supported on a Hamming Sphere

James Aaronson

In this note, we prove that, among functions $f$ supported on a Hamming Sphere in $F_{2}^{n}$ with fixed $ℓ^{2}$ norm, the additive energy is maximised when $f$ is constant.…

math.CO2018★ 4 cited

Maximising the number of solutions to a linear equation in a set of integers

James Aaronson

Given a linear equation of the form $a_{1} x_{1} + a_{2} x_{2} + a_{3} x_{3} = 0$ with integer coefficients $a_{i}$ , we are interested in maximising the number of solutions to this equation in a se…