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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2409.16187 |
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| _version_ | 1866910624983810048 |
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| author | Lupu, Cezar Matei, Vlad |
| author_facet | Lupu, Cezar Matei, Vlad |
| contents | In this note, we give an exact formula for a general family of rational zeta series involving the coefficient $ζ(2n)$ in terms of Hurwitz zeta values. This formula generalizes two formulas from a previous paper of the first author. Our method will involve derivatives polynomials for the cotangent function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16187 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some rational zeta series involving $ζ(2n)$ and binomial coefficients Lupu, Cezar Matei, Vlad Number Theory 11M06, 11M35, 40A05 In this note, we give an exact formula for a general family of rational zeta series involving the coefficient $ζ(2n)$ in terms of Hurwitz zeta values. This formula generalizes two formulas from a previous paper of the first author. Our method will involve derivatives polynomials for the cotangent function. |
| title | On some rational zeta series involving $ζ(2n)$ and binomial coefficients |
| topic | Number Theory 11M06, 11M35, 40A05 |
| url | https://arxiv.org/abs/2409.16187 |