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An Addendum to Plouffe's Ramanujan Identities

An Addendum to Plouffe's Ramanujan Identities

来源:Arxiv_logoArxiv
英文摘要

We introduce a new class of polylogarithm sums closely related to a family studied by L. Vepštas 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.

Segun Olofin Akerele

数学

Segun Olofin Akerele.An Addendum to Plouffe's Ramanujan Identities[EB/OL].(2025-06-19)[2025-08-02].https://arxiv.org/abs/2507.00040.点此复制

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