Philippa Holdridge

activity

20232026

collaborators

Showing 2026Show all

2 papers · 1 filter

math.NT2026

On the probability that the integer parts of polynomials are coprime

Philippa Holdridge

We prove that for any $s \geq 2$ and polynomials $f_{1} (x), \dots, f_{s - 1} (x) \in R [x]$ satisfying a certain equidistribution condition, the natural density of the numbers $n\i…

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…