An Addendum to Plouffe's Ramanujan Identities
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916962884386816 |
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| author | Akerele, Segun Olofin |
| author_facet | Akerele, Segun Olofin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00040 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Addendum to Plouffe's Ramanujan Identities Akerele, Segun Olofin General Mathematics 40A25, 33B30, 11M35 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. |
| title | An Addendum to Plouffe's Ramanujan Identities |
| topic | General Mathematics 40A25, 33B30, 11M35 |
| url | https://arxiv.org/abs/2507.00040 |