Showing 2023Show all
2 papers · 1 filter
math.CO2023
Sum-Product Bounds & an Inequality for the Kissing Number in Dimension 16
Andrew Mendelsohn
We obtain an inequality for the kissing number in 16 dimensions. We do this by generalising a sum-product bound of Solymosi and Wong for quaternions to a semialgebra in dimension 1…
math.RA2023
A Note On Square-free Commuting Probabilities of Finite Rings
Andrew Mendelsohn
It is shown that the commuting probability of a finite ring cannot be a fraction with square-free denominator, resolving a conjecture of Buckley and MacHale.