John M. Campbell

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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…

math.CO2024

A further $q$ -analogue of a formula due to Guillera

John M. Campbell

Hou, Krattenthaler, and Sun have introduced two $q$ -analogues of a remarkable series for $π^{2}$ due to Guillera, and these $q$ -identities were, respectively, proved with the use of…

On the minimal polynomials of the arguments of dilogarithm ladders

A further q-analogue of a formula due to Guillera

A further $q$ -analogue of a formula due to Guillera