On some rational zeta series involving $ζ(2n)$ and binomial coefficients
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910624983810048 |
|---|---|
| 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 |