4 papers
math.NT2026
On a problem on a generalization of Euler's totient function
John M. Campbell
Büyükaşik et al. [Publ. Math. Debrecen, 2024] introduced a family of generalizations of Euler's totient function , by setting for such…
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 -to-$…
math.NT2024
An extension of the Chudnovsky algorithm
John M. Campbell
Using an infinite family of generalizations of the Chudnovsky brothers' series recently obtained via the analytic continuation of the Borwein brothers' formula for Ramanujan-type s…
math.NT2024
On a Ramanujan-type series associated with the Heegner number 163
John M. Campbell
Using the Wolfram NumberTheory package and the Recognize command, together with numerical estimates involving the elliptic lambda and elliptic alpha functions, Bagis and Glasser, i…