John M. Campbell

collaborators

2 papers

math.NT2026

On a problem on a generalization of Euler's totient function

John M. Campbell

BÃ¼yÃ¼kaÅik et al. [Publ. Math. Debrecen, 2024] introduced a family of generalizations of Euler's totient function $I ¨ (n)$ , by setting $I ¨ _{k} (n) = \sum_{a} a^{k}$ for $a \in [1, n]$ …

math.CO2025

Schur-hooks and Bernoulli number recurrences

John M. Campbell

Given an identity relating families of Schur and power sum symmetric functions, this may be thought of as encoding representation-theoretic properties according to how the $p$ -to-$…