Philippa Holdridge

collaborators

2 papers

math.CO2026

On the Extended 1-2-3 Conjecture of Pilz

Philippa Holdridge, Péter Pál Pach

We resolve (for all sufficiently large $n$ ) a conjecture of Pilz on the symmetric difference $A Δ (2 A) Δ \dots Δ (n A)$ for finite sets $A \subseteq N$ of positive integers. We s…

math.NT2024

Additive Ramsey theory over Piatetski-Shapiro numbers

Jonathan Chapman, Sam Chow, Philippa Holdridge

We characterise partition regularity for linear equations over the Piatetski-Shapiro numbers $⌊ n^{c} ⌋$ when $1 < c < c^{†} (s)$ , where $s ⩾ 3$ is the number of var…