An Addendum to Plouffe's Ramanujan Identities
Segun Olofin Akerele
公開日: 2025/6/19
Abstract
We introduce a new class of polylogarithm sums closely related to a family studied by L. Vep\v{s}tas in 2010. These generalized sums depend on two free parameters and yield closed-form expressions involving the Dirichlet eta function. Additionally, we present an alternative proof for a hyperbolic sum originally discussed by Ramanujan.