On some rational zeta series involving $\zeta(2n)$ and binomial coefficients
Number Theory
2024-10-01 v2
Abstract
In this note, we give an exact formula for a general family of rational zeta series involving the coefficient 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.
Keywords
Cite
@article{arxiv.2409.16187,
title = {On some rational zeta series involving $\zeta(2n)$ and binomial coefficients},
author = {Cezar Lupu and Vlad Matei},
journal= {arXiv preprint arXiv:2409.16187},
year = {2024}
}