John M. Campbell

collaborators

2 papers

math.CA2025

$q$ -analogues of $π$ -formulas due to Ramanujan and Guillera

John M. Campbell

The first known $q$ -analogues for any of the $17$ formulas for $\frac{1}{π}$ due to Ramanujan were introduced in 2018 by Guo and Liu (J. Difference Equ. Appl. 29:505-513, 2018), via…

math.NT2024

On the minimal polynomials of the arguments of dilogarithm ladders

John M. Campbell

Letting $L_{n} (N, u)$ denote a polylogarithm ladder of weight $n$ and index $N$ with $u$ as an algebraic number, there is a rich history surrounding how mathematical objects of thi…

q-analogues of π-formulas due to Ramanujan and Guillera

On the minimal polynomials of the arguments of dilogarithm ladders

$q$ -analogues of $π$ -formulas due to Ramanujan and Guillera