5 papers
On a problem on Ramanujan-Sato series of level 11
John M. Campbell
A longstanding open problem concerning Ramanujan-Sato series is given by determining an expression for the coefficients associated with Ramanujan-Sato series of level 1…
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…
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-$…
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…
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…